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Finding the Third Proportional to 4,114.13 and 9,775.13

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Solution

The third proportional to 4,114.13 and 9,775.13 is: 23,225.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.13 : 9,775.13 = 9,775.13 : x
  2. Step 2: Convert to fraction form
    4,114.13/9,775.13 = 9,775.13/x
  3. Step 3: Cross multiply
    4,114.13x = 9,775.13 × 9,775.13
  4. Step 4: Simplify right side
    4,114.13x = 95,553,068.77
  5. Step 5: Solve for x
    x = 95,553,068.77/4,114.13
  6. Step 6: Final answer
    x = 23,225.61

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.