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Finding the Third Proportional to 32,030.75 and 68,982.13

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Solution

The third proportional to 32,030.75 and 68,982.13 is: 148,561.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,030.75 : 68,982.13 = 68,982.13 : x
  2. Step 2: Convert to fraction form
    32,030.75/68,982.13 = 68,982.13/x
  3. Step 3: Cross multiply
    32,030.75x = 68,982.13 × 68,982.13
  4. Step 4: Simplify right side
    32,030.75x = 4,758,533,569.52
  5. Step 5: Solve for x
    x = 4,758,533,569.52/32,030.75
  6. Step 6: Final answer
    x = 148,561.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.