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Finding the Third Proportional to 9,780.75 and 22,690.13

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Solution

The third proportional to 9,780.75 and 22,690.13 is: 52,638.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.75 : 22,690.13 = 22,690.13 : x
  2. Step 2: Convert to fraction form
    9,780.75/22,690.13 = 22,690.13/x
  3. Step 3: Cross multiply
    9,780.75x = 22,690.13 × 22,690.13
  4. Step 4: Simplify right side
    9,780.75x = 514,841,772.52
  5. Step 5: Solve for x
    x = 514,841,772.52/9,780.75
  6. Step 6: Final answer
    x = 52,638.27

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.