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Finding the Third Proportional to 29,652.75 and 63,838.13

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Solution

The third proportional to 29,652.75 and 63,838.13 is: 137,434.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,652.75 : 63,838.13 = 63,838.13 : x
  2. Step 2: Convert to fraction form
    29,652.75/63,838.13 = 63,838.13/x
  3. Step 3: Cross multiply
    29,652.75x = 63,838.13 × 63,838.13
  4. Step 4: Simplify right side
    29,652.75x = 4,075,306,203.52
  5. Step 5: Solve for x
    x = 4,075,306,203.52/29,652.75
  6. Step 6: Final answer
    x = 137,434.34

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.