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Finding the Third Proportional to 24,172 and 32,528

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Solution

The third proportional to 24,172 and 32,528 is: 43,772.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,172 : 32,528 = 32,528 : x
  2. Step 2: Convert to fraction form
    24,172/32,528 = 32,528/x
  3. Step 3: Cross multiply
    24,172x = 32,528 × 32,528
  4. Step 4: Simplify right side
    24,172x = 1,058,070,784
  5. Step 5: Solve for x
    x = 1,058,070,784/24,172
  6. Step 6: Final answer
    x = 43,772.58

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.