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Finding the Third Proportional to 15,702 and 33,528

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Solution

The third proportional to 15,702 and 33,528 is: 71,591.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,702 : 33,528 = 33,528 : x
  2. Step 2: Convert to fraction form
    15,702/33,528 = 33,528/x
  3. Step 3: Cross multiply
    15,702x = 33,528 × 33,528
  4. Step 4: Simplify right side
    15,702x = 1,124,126,784
  5. Step 5: Solve for x
    x = 1,124,126,784/15,702
  6. Step 6: Final answer
    x = 71,591.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.