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Finding the Third Proportional to 29,713.64 and 65,259.28

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Solution

The third proportional to 29,713.64 and 65,259.28 is: 143,327.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,713.64 : 65,259.28 = 65,259.28 : x
  2. Step 2: Convert to fraction form
    29,713.64/65,259.28 = 65,259.28/x
  3. Step 3: Cross multiply
    29,713.64x = 65,259.28 × 65,259.28
  4. Step 4: Simplify right side
    29,713.64x = 4,258,773,789.27
  5. Step 5: Solve for x
    x = 4,258,773,789.27/29,713.64
  6. Step 6: Final answer
    x = 143,327.23

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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.