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Finding the Third Proportional to 24,277.88 and 52,968.75

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Solution

The third proportional to 24,277.88 and 52,968.75 is: 115,565.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,277.88 : 52,968.75 = 52,968.75 : x
  2. Step 2: Convert to fraction form
    24,277.88/52,968.75 = 52,968.75/x
  3. Step 3: Cross multiply
    24,277.88x = 52,968.75 × 52,968.75
  4. Step 4: Simplify right side
    24,277.88x = 2,805,688,476.56
  5. Step 5: Solve for x
    x = 2,805,688,476.56/24,277.88
  6. Step 6: Final answer
    x = 115,565.65

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.