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Finding the Third Proportional to 39,507 and 53,217

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Solution

The third proportional to 39,507 and 53,217 is: 71,684.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,507 : 53,217 = 53,217 : x
  2. Step 2: Convert to fraction form
    39,507/53,217 = 53,217/x
  3. Step 3: Cross multiply
    39,507x = 53,217 × 53,217
  4. Step 4: Simplify right side
    39,507x = 2,832,049,089
  5. Step 5: Solve for x
    x = 2,832,049,089/39,507
  6. Step 6: Final answer
    x = 71,684.74

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.