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Finding the Third Proportional to 32,691.75 and 70,801.50

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Solution

The third proportional to 32,691.75 and 70,801.50 is: 153,336.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,691.75 : 70,801.50 = 70,801.50 : x
  2. Step 2: Convert to fraction form
    32,691.75/70,801.50 = 70,801.50/x
  3. Step 3: Cross multiply
    32,691.75x = 70,801.50 × 70,801.50
  4. Step 4: Simplify right side
    32,691.75x = 5,012,852,402.25
  5. Step 5: Solve for x
    x = 5,012,852,402.25/32,691.75
  6. Step 6: Final answer
    x = 153,336.92

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.