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Finding the Third Proportional to 24,756.88 and 53,459.25

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Solution

The third proportional to 24,756.88 and 53,459.25 is: 115,438.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,756.88 : 53,459.25 = 53,459.25 : x
  2. Step 2: Convert to fraction form
    24,756.88/53,459.25 = 53,459.25/x
  3. Step 3: Cross multiply
    24,756.88x = 53,459.25 × 53,459.25
  4. Step 4: Simplify right side
    24,756.88x = 2,857,891,410.56
  5. Step 5: Solve for x
    x = 2,857,891,410.56/24,756.88
  6. Step 6: Final answer
    x = 115,438.29

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.