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Finding the Third Proportional to 32,716.13 and 70,616.25

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Solution

The third proportional to 32,716.13 and 70,616.25 is: 152,421.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,716.13 : 70,616.25 = 70,616.25 : x
  2. Step 2: Convert to fraction form
    32,716.13/70,616.25 = 70,616.25/x
  3. Step 3: Cross multiply
    32,716.13x = 70,616.25 × 70,616.25
  4. Step 4: Simplify right side
    32,716.13x = 4,986,654,764.06
  5. Step 5: Solve for x
    x = 4,986,654,764.06/32,716.13
  6. Step 6: Final answer
    x = 152,421.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.