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Finding the Third Proportional to 31,449 and 65,449.50

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Solution

The third proportional to 31,449 and 65,449.50 is: 136,209.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,449 : 65,449.50 = 65,449.50 : x
  2. Step 2: Convert to fraction form
    31,449/65,449.50 = 65,449.50/x
  3. Step 3: Cross multiply
    31,449x = 65,449.50 × 65,449.50
  4. Step 4: Simplify right side
    31,449x = 4,283,637,050.25
  5. Step 5: Solve for x
    x = 4,283,637,050.25/31,449
  6. Step 6: Final answer
    x = 136,209.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.