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Finding the Third Proportional to 24,148.13 and 53,110.69

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Solution

The third proportional to 24,148.13 and 53,110.69 is: 116,810.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,148.13 : 53,110.69 = 53,110.69 : x
  2. Step 2: Convert to fraction form
    24,148.13/53,110.69 = 53,110.69/x
  3. Step 3: Cross multiply
    24,148.13x = 53,110.69 × 53,110.69
  4. Step 4: Simplify right side
    24,148.13x = 2,820,745,126.72
  5. Step 5: Solve for x
    x = 2,820,745,126.72/24,148.13
  6. Step 6: Final answer
    x = 116,810.11

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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.