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Finding the Third Proportional to 20,675.25 and 31,316.63

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Solution

The third proportional to 20,675.25 and 31,316.63 is: 47,435.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,675.25 : 31,316.63 = 31,316.63 : x
  2. Step 2: Convert to fraction form
    20,675.25/31,316.63 = 31,316.63/x
  3. Step 3: Cross multiply
    20,675.25x = 31,316.63 × 31,316.63
  4. Step 4: Simplify right side
    20,675.25x = 980,731,001.39
  5. Step 5: Solve for x
    x = 980,731,001.39/20,675.25
  6. Step 6: Final answer
    x = 47,435.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.