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Finding the Third Proportional to 24,000.05 and 51,064.17

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Solution

The third proportional to 24,000.05 and 51,064.17 is: 108,647.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,000.05 : 51,064.17 = 51,064.17 : x
  2. Step 2: Convert to fraction form
    24,000.05/51,064.17 = 51,064.17/x
  3. Step 3: Cross multiply
    24,000.05x = 51,064.17 × 51,064.17
  4. Step 4: Simplify right side
    24,000.05x = 2,607,549,649.28
  5. Step 5: Solve for x
    x = 2,607,549,649.28/24,000.05
  6. Step 6: Final answer
    x = 108,647.69

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.