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Finding the Third Proportional to 15,522 and 20,528

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Solution

The third proportional to 15,522 and 20,528 is: 27,148.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,522 : 20,528 = 20,528 : x
  2. Step 2: Convert to fraction form
    15,522/20,528 = 20,528/x
  3. Step 3: Cross multiply
    15,522x = 20,528 × 20,528
  4. Step 4: Simplify right side
    15,522x = 421,398,784
  5. Step 5: Solve for x
    x = 421,398,784/15,522
  6. Step 6: Final answer
    x = 27,148.48

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.