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Finding the Third Proportional to 26,374 and 62,258.50

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Solution

The third proportional to 26,374 and 62,258.50 is: 146,967.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,374 : 62,258.50 = 62,258.50 : x
  2. Step 2: Convert to fraction form
    26,374/62,258.50 = 62,258.50/x
  3. Step 3: Cross multiply
    26,374x = 62,258.50 × 62,258.50
  4. Step 4: Simplify right side
    26,374x = 3,876,120,822.25
  5. Step 5: Solve for x
    x = 3,876,120,822.25/26,374
  6. Step 6: Final answer
    x = 146,967.50

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.