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Finding the Third Proportional to 34,273.13 and 51,127.88

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Solution

The third proportional to 34,273.13 and 51,127.88 is: 76,271.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,273.13 : 51,127.88 = 51,127.88 : x
  2. Step 2: Convert to fraction form
    34,273.13/51,127.88 = 51,127.88/x
  3. Step 3: Cross multiply
    34,273.13x = 51,127.88 × 51,127.88
  4. Step 4: Simplify right side
    34,273.13x = 2,614,059,602.02
  5. Step 5: Solve for x
    x = 2,614,059,602.02/34,273.13
  6. Step 6: Final answer
    x = 76,271.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.