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Finding the Third Proportional to 32,712.75 and 70,656.75

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Solution

The third proportional to 32,712.75 and 70,656.75 is: 152,612.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,712.75 : 70,656.75 = 70,656.75 : x
  2. Step 2: Convert to fraction form
    32,712.75/70,656.75 = 70,656.75/x
  3. Step 3: Cross multiply
    32,712.75x = 70,656.75 × 70,656.75
  4. Step 4: Simplify right side
    32,712.75x = 4,992,376,320.56
  5. Step 5: Solve for x
    x = 4,992,376,320.56/32,712.75
  6. Step 6: Final answer
    x = 152,612.55

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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.