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Finding the Third Proportional to 14,148.84 and 18,432.56

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Solution

The third proportional to 14,148.84 and 18,432.56 is: 24,013.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,148.84 : 18,432.56 = 18,432.56 : x
  2. Step 2: Convert to fraction form
    14,148.84/18,432.56 = 18,432.56/x
  3. Step 3: Cross multiply
    14,148.84x = 18,432.56 × 18,432.56
  4. Step 4: Simplify right side
    14,148.84x = 339,759,360.32
  5. Step 5: Solve for x
    x = 339,759,360.32/14,148.84
  6. Step 6: Final answer
    x = 24,013.22

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.