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Finding the Third Proportional to 27,496 and 31,528

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Solution

The third proportional to 27,496 and 31,528 is: 36,151.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,496 : 31,528 = 31,528 : x
  2. Step 2: Convert to fraction form
    27,496/31,528 = 31,528/x
  3. Step 3: Cross multiply
    27,496x = 31,528 × 31,528
  4. Step 4: Simplify right side
    27,496x = 994,014,784
  5. Step 5: Solve for x
    x = 994,014,784/27,496
  6. Step 6: Final answer
    x = 36,151.25

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.