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Finding the Third Proportional to 9,490.29 and 14,158.55

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Solution

The third proportional to 9,490.29 and 14,158.55 is: 21,123.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.29 : 14,158.55 = 14,158.55 : x
  2. Step 2: Convert to fraction form
    9,490.29/14,158.55 = 14,158.55/x
  3. Step 3: Cross multiply
    9,490.29x = 14,158.55 × 14,158.55
  4. Step 4: Simplify right side
    9,490.29x = 200,464,449.61
  5. Step 5: Solve for x
    x = 200,464,449.61/9,490.29
  6. Step 6: Final answer
    x = 21,123.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.