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Finding the Third Proportional to 9,073.13 and 14,446.69

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Solution

The third proportional to 9,073.13 and 14,446.69 is: 23,002.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,073.13 : 14,446.69 = 14,446.69 : x
  2. Step 2: Convert to fraction form
    9,073.13/14,446.69 = 14,446.69/x
  3. Step 3: Cross multiply
    9,073.13x = 14,446.69 × 14,446.69
  4. Step 4: Simplify right side
    9,073.13x = 208,706,779.72
  5. Step 5: Solve for x
    x = 208,706,779.72/9,073.13
  6. Step 6: Final answer
    x = 23,002.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.