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Finding the Third Proportional to 32,028.75 and 70,291.13

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Solution

The third proportional to 32,028.75 and 70,291.13 is: 154,262.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,028.75 : 70,291.13 = 70,291.13 : x
  2. Step 2: Convert to fraction form
    32,028.75/70,291.13 = 70,291.13/x
  3. Step 3: Cross multiply
    32,028.75x = 70,291.13 × 70,291.13
  4. Step 4: Simplify right side
    32,028.75x = 4,940,842,253.77
  5. Step 5: Solve for x
    x = 4,940,842,253.77/32,028.75
  6. Step 6: Final answer
    x = 154,262.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.