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Finding the Third Proportional to 29,987.44 and 64,127.25

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Solution

The third proportional to 29,987.44 and 64,127.25 is: 137,134.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,987.44 : 64,127.25 = 64,127.25 : x
  2. Step 2: Convert to fraction form
    29,987.44/64,127.25 = 64,127.25/x
  3. Step 3: Cross multiply
    29,987.44x = 64,127.25 × 64,127.25
  4. Step 4: Simplify right side
    29,987.44x = 4,112,304,192.56
  5. Step 5: Solve for x
    x = 4,112,304,192.56/29,987.44
  6. Step 6: Final answer
    x = 137,134.23

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.