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Finding the Third Proportional to 24,072 and 27,528

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Solution

The third proportional to 24,072 and 27,528 is: 31,480.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,072 : 27,528 = 27,528 : x
  2. Step 2: Convert to fraction form
    24,072/27,528 = 27,528/x
  3. Step 3: Cross multiply
    24,072x = 27,528 × 27,528
  4. Step 4: Simplify right side
    24,072x = 757,790,784
  5. Step 5: Solve for x
    x = 757,790,784/24,072
  6. Step 6: Final answer
    x = 31,480.18

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.