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Finding the Third Proportional to 10,432.55 and 16,178.48

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Solution

The third proportional to 10,432.55 and 16,178.48 is: 25,089.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432.55 : 16,178.48 = 16,178.48 : x
  2. Step 2: Convert to fraction form
    10,432.55/16,178.48 = 16,178.48/x
  3. Step 3: Cross multiply
    10,432.55x = 16,178.48 × 16,178.48
  4. Step 4: Simplify right side
    10,432.55x = 261,743,356.67
  5. Step 5: Solve for x
    x = 261,743,356.67/10,432.55
  6. Step 6: Final answer
    x = 25,089.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.