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Finding the Third Proportional to 24,117.75 and 38,363.63

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Solution

The third proportional to 24,117.75 and 38,363.63 is: 61,024.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,117.75 : 38,363.63 = 38,363.63 : x
  2. Step 2: Convert to fraction form
    24,117.75/38,363.63 = 38,363.63/x
  3. Step 3: Cross multiply
    24,117.75x = 38,363.63 × 38,363.63
  4. Step 4: Simplify right side
    24,117.75x = 1,471,767,723.14
  5. Step 5: Solve for x
    x = 1,471,767,723.14/24,117.75
  6. Step 6: Final answer
    x = 61,024.25

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