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Finding the Third Proportional to 9,414.56 and 14,586.19

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Solution

The third proportional to 9,414.56 and 14,586.19 is: 22,598.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.56 : 14,586.19 = 14,586.19 : x
  2. Step 2: Convert to fraction form
    9,414.56/14,586.19 = 14,586.19/x
  3. Step 3: Cross multiply
    9,414.56x = 14,586.19 × 14,586.19
  4. Step 4: Simplify right side
    9,414.56x = 212,756,865.79
  5. Step 5: Solve for x
    x = 212,756,865.79/9,414.56
  6. Step 6: Final answer
    x = 22,598.70

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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.