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Finding the Third Proportional to 23,258.71 and 34,796.46

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Solution

The third proportional to 23,258.71 and 34,796.46 is: 52,057.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,258.71 : 34,796.46 = 34,796.46 : x
  2. Step 2: Convert to fraction form
    23,258.71/34,796.46 = 34,796.46/x
  3. Step 3: Cross multiply
    23,258.71x = 34,796.46 × 34,796.46
  4. Step 4: Simplify right side
    23,258.71x = 1,210,793,693.77
  5. Step 5: Solve for x
    x = 1,210,793,693.77/23,258.71
  6. Step 6: Final answer
    x = 52,057.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.