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Finding the Third Proportional to 16,527.38 and 25,178.63

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Solution

The third proportional to 16,527.38 and 25,178.63 is: 38,358.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,527.38 : 25,178.63 = 25,178.63 : x
  2. Step 2: Convert to fraction form
    16,527.38/25,178.63 = 25,178.63/x
  3. Step 3: Cross multiply
    16,527.38x = 25,178.63 × 25,178.63
  4. Step 4: Simplify right side
    16,527.38x = 633,963,156.89
  5. Step 5: Solve for x
    x = 633,963,156.89/16,527.38
  6. Step 6: Final answer
    x = 38,358.37

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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.