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Finding the Third Proportional to 20,297.25 and 31,848.19

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Solution

The third proportional to 20,297.25 and 31,848.19 is: 49,972.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,297.25 : 31,848.19 = 31,848.19 : x
  2. Step 2: Convert to fraction form
    20,297.25/31,848.19 = 31,848.19/x
  3. Step 3: Cross multiply
    20,297.25x = 31,848.19 × 31,848.19
  4. Step 4: Simplify right side
    20,297.25x = 1,014,307,047.04
  5. Step 5: Solve for x
    x = 1,014,307,047.04/20,297.25
  6. Step 6: Final answer
    x = 49,972.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.