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Finding the Third Proportional to 32,812.13 and 71,980.13

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Solution

The third proportional to 32,812.13 and 71,980.13 is: 157,903.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,812.13 : 71,980.13 = 71,980.13 : x
  2. Step 2: Convert to fraction form
    32,812.13/71,980.13 = 71,980.13/x
  3. Step 3: Cross multiply
    32,812.13x = 71,980.13 × 71,980.13
  4. Step 4: Simplify right side
    32,812.13x = 5,181,138,395.02
  5. Step 5: Solve for x
    x = 5,181,138,395.02/32,812.13
  6. Step 6: Final answer
    x = 157,903.17

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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.