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Finding the Third Proportional to 9,641.11 and 14,564.39

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Solution

The third proportional to 9,641.11 and 14,564.39 is: 22,001.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.11 : 14,564.39 = 14,564.39 : x
  2. Step 2: Convert to fraction form
    9,641.11/14,564.39 = 14,564.39/x
  3. Step 3: Cross multiply
    9,641.11x = 14,564.39 × 14,564.39
  4. Step 4: Simplify right side
    9,641.11x = 212,121,474.28
  5. Step 5: Solve for x
    x = 212,121,474.28/9,641.11
  6. Step 6: Final answer
    x = 22,001.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.