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Finding the Third Proportional to 24,658.59 and 53,258.34

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Solution

The third proportional to 24,658.59 and 53,258.34 is: 115,028.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,658.59 : 53,258.34 = 53,258.34 : x
  2. Step 2: Convert to fraction form
    24,658.59/53,258.34 = 53,258.34/x
  3. Step 3: Cross multiply
    24,658.59x = 53,258.34 × 53,258.34
  4. Step 4: Simplify right side
    24,658.59x = 2,836,451,178.99
  5. Step 5: Solve for x
    x = 2,836,451,178.99/24,658.59
  6. Step 6: Final answer
    x = 115,028.91

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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.