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Finding the Third Proportional to 9,417.56 and 14,591.44

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Solution

The third proportional to 9,417.56 and 14,591.44 is: 22,607.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417.56 : 14,591.44 = 14,591.44 : x
  2. Step 2: Convert to fraction form
    9,417.56/14,591.44 = 14,591.44/x
  3. Step 3: Cross multiply
    9,417.56x = 14,591.44 × 14,591.44
  4. Step 4: Simplify right side
    9,417.56x = 212,910,048.32
  5. Step 5: Solve for x
    x = 212,910,048.32/9,417.56
  6. Step 6: Final answer
    x = 22,607.77

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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.