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Finding the Third Proportional to 29,419.88 and 64,778.06

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Solution

The third proportional to 29,419.88 and 64,778.06 is: 142,631.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,419.88 : 64,778.06 = 64,778.06 : x
  2. Step 2: Convert to fraction form
    29,419.88/64,778.06 = 64,778.06/x
  3. Step 3: Cross multiply
    29,419.88x = 64,778.06 × 64,778.06
  4. Step 4: Simplify right side
    29,419.88x = 4,196,197,381.25
  5. Step 5: Solve for x
    x = 4,196,197,381.25/29,419.88
  6. Step 6: Final answer
    x = 142,631.38

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.