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Finding the Third Proportional to 29,552.20 and 64,127.95

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Solution

The third proportional to 29,552.20 and 64,127.95 is: 139,156.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,552.20 : 64,127.95 = 64,127.95 : x
  2. Step 2: Convert to fraction form
    29,552.20/64,127.95 = 64,127.95/x
  3. Step 3: Cross multiply
    29,552.20x = 64,127.95 × 64,127.95
  4. Step 4: Simplify right side
    29,552.20x = 4,112,394,372.00
  5. Step 5: Solve for x
    x = 4,112,394,372.00/29,552.20
  6. Step 6: Final answer
    x = 139,156.95

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.