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Finding the Third Proportional to 27,252 and 37,528

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Solution

The third proportional to 27,252 and 37,528 is: 51,678.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,252 : 37,528 = 37,528 : x
  2. Step 2: Convert to fraction form
    27,252/37,528 = 37,528/x
  3. Step 3: Cross multiply
    27,252x = 37,528 × 37,528
  4. Step 4: Simplify right side
    27,252x = 1,408,350,784
  5. Step 5: Solve for x
    x = 1,408,350,784/27,252
  6. Step 6: Final answer
    x = 51,678.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.