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Finding the Third Proportional to 16,641.50 and 25,304

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Solution

The third proportional to 16,641.50 and 25,304 is: 38,475.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,641.50 : 25,304 = 25,304 : x
  2. Step 2: Convert to fraction form
    16,641.50/25,304 = 25,304/x
  3. Step 3: Cross multiply
    16,641.50x = 25,304 × 25,304
  4. Step 4: Simplify right side
    16,641.50x = 640,292,416
  5. Step 5: Solve for x
    x = 640,292,416/16,641.50
  6. Step 6: Final answer
    x = 38,475.64

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.