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Finding the Third Proportional to 32,005.13 and 70,480.13

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Solution

The third proportional to 32,005.13 and 70,480.13 is: 155,207.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,005.13 : 70,480.13 = 70,480.13 : x
  2. Step 2: Convert to fraction form
    32,005.13/70,480.13 = 70,480.13/x
  3. Step 3: Cross multiply
    32,005.13x = 70,480.13 × 70,480.13
  4. Step 4: Simplify right side
    32,005.13x = 4,967,448,020.02
  5. Step 5: Solve for x
    x = 4,967,448,020.02/32,005.13
  6. Step 6: Final answer
    x = 155,207.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.