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Finding the Third Proportional to 24,167.53 and 53,095.69

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Solution

The third proportional to 24,167.53 and 53,095.69 is: 116,650.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,167.53 : 53,095.69 = 53,095.69 : x
  2. Step 2: Convert to fraction form
    24,167.53/53,095.69 = 53,095.69/x
  3. Step 3: Cross multiply
    24,167.53x = 53,095.69 × 53,095.69
  4. Step 4: Simplify right side
    24,167.53x = 2,819,152,031.10
  5. Step 5: Solve for x
    x = 2,819,152,031.10/24,167.53
  6. Step 6: Final answer
    x = 116,650.39

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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.