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Finding the Third Proportional to 24,181.13 and 53,265.75

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Solution

The third proportional to 24,181.13 and 53,265.75 is: 117,332.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,181.13 : 53,265.75 = 53,265.75 : x
  2. Step 2: Convert to fraction form
    24,181.13/53,265.75 = 53,265.75/x
  3. Step 3: Cross multiply
    24,181.13x = 53,265.75 × 53,265.75
  4. Step 4: Simplify right side
    24,181.13x = 2,837,240,123.06
  5. Step 5: Solve for x
    x = 2,837,240,123.06/24,181.13
  6. Step 6: Final answer
    x = 117,332.84

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.