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Finding the Third Proportional to 40,132.50 and 84,033

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Solution

The third proportional to 40,132.50 and 84,033 is: 175,955.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,132.50 : 84,033 = 84,033 : x
  2. Step 2: Convert to fraction form
    40,132.50/84,033 = 84,033/x
  3. Step 3: Cross multiply
    40,132.50x = 84,033 × 84,033
  4. Step 4: Simplify right side
    40,132.50x = 7,061,545,089
  5. Step 5: Solve for x
    x = 7,061,545,089/40,132.50
  6. Step 6: Final answer
    x = 175,955.77

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.