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Finding the Third Proportional to 26,011.50 and 57,862.50

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Solution

The third proportional to 26,011.50 and 57,862.50 is: 128,714.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,011.50 : 57,862.50 = 57,862.50 : x
  2. Step 2: Convert to fraction form
    26,011.50/57,862.50 = 57,862.50/x
  3. Step 3: Cross multiply
    26,011.50x = 57,862.50 × 57,862.50
  4. Step 4: Simplify right side
    26,011.50x = 3,348,068,906.25
  5. Step 5: Solve for x
    x = 3,348,068,906.25/26,011.50
  6. Step 6: Final answer
    x = 128,714.95

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.