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Finding the Third Proportional to 39,748 and 53,273

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Solution

The third proportional to 39,748 and 53,273 is: 71,400.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,748 : 53,273 = 53,273 : x
  2. Step 2: Convert to fraction form
    39,748/53,273 = 53,273/x
  3. Step 3: Cross multiply
    39,748x = 53,273 × 53,273
  4. Step 4: Simplify right side
    39,748x = 2,838,012,529
  5. Step 5: Solve for x
    x = 2,838,012,529/39,748
  6. Step 6: Final answer
    x = 71,400.13

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.