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Finding the Third Proportional to 29,657 and 65,255.75

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Solution

The third proportional to 29,657 and 65,255.75 is: 143,585.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,657 : 65,255.75 = 65,255.75 : x
  2. Step 2: Convert to fraction form
    29,657/65,255.75 = 65,255.75/x
  3. Step 3: Cross multiply
    29,657x = 65,255.75 × 65,255.75
  4. Step 4: Simplify right side
    29,657x = 4,258,312,908.06
  5. Step 5: Solve for x
    x = 4,258,312,908.06/29,657
  6. Step 6: Final answer
    x = 143,585.42

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Why These Related Problems?

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