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Finding the Third Proportional to 32,240.25 and 68,632.13

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Solution

The third proportional to 32,240.25 and 68,632.13 is: 146,102.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,240.25 : 68,632.13 = 68,632.13 : x
  2. Step 2: Convert to fraction form
    32,240.25/68,632.13 = 68,632.13/x
  3. Step 3: Cross multiply
    32,240.25x = 68,632.13 × 68,632.13
  4. Step 4: Simplify right side
    32,240.25x = 4,710,368,582.02
  5. Step 5: Solve for x
    x = 4,710,368,582.02/32,240.25
  6. Step 6: Final answer
    x = 146,102.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.