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Finding the Third Proportional to 24,720.19 and 52,386.75

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Solution

The third proportional to 24,720.19 and 52,386.75 is: 111,017.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,720.19 : 52,386.75 = 52,386.75 : x
  2. Step 2: Convert to fraction form
    24,720.19/52,386.75 = 52,386.75/x
  3. Step 3: Cross multiply
    24,720.19x = 52,386.75 × 52,386.75
  4. Step 4: Simplify right side
    24,720.19x = 2,744,371,575.56
  5. Step 5: Solve for x
    x = 2,744,371,575.56/24,720.19
  6. Step 6: Final answer
    x = 111,017.43

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.