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Finding the Third Proportional to 14,897.25 and 31,019.25

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Solution

The third proportional to 14,897.25 and 31,019.25 is: 64,588.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,897.25 : 31,019.25 = 31,019.25 : x
  2. Step 2: Convert to fraction form
    14,897.25/31,019.25 = 31,019.25/x
  3. Step 3: Cross multiply
    14,897.25x = 31,019.25 × 31,019.25
  4. Step 4: Simplify right side
    14,897.25x = 962,193,870.56
  5. Step 5: Solve for x
    x = 962,193,870.56/14,897.25
  6. Step 6: Final answer
    x = 64,588.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.