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Finding the Third Proportional to 27,666 and 39,528

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Solution

The third proportional to 27,666 and 39,528 is: 56,475.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,666 : 39,528 = 39,528 : x
  2. Step 2: Convert to fraction form
    27,666/39,528 = 39,528/x
  3. Step 3: Cross multiply
    27,666x = 39,528 × 39,528
  4. Step 4: Simplify right side
    27,666x = 1,562,462,784
  5. Step 5: Solve for x
    x = 1,562,462,784/27,666
  6. Step 6: Final answer
    x = 56,475.92

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.