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Finding the Third Proportional to 40,503.94 and 83,598.19

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Solution

The third proportional to 40,503.94 and 83,598.19 is: 172,542.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,503.94 : 83,598.19 = 83,598.19 : x
  2. Step 2: Convert to fraction form
    40,503.94/83,598.19 = 83,598.19/x
  3. Step 3: Cross multiply
    40,503.94x = 83,598.19 × 83,598.19
  4. Step 4: Simplify right side
    40,503.94x = 6,988,656,953.29
  5. Step 5: Solve for x
    x = 6,988,656,953.29/40,503.94
  6. Step 6: Final answer
    x = 172,542.66

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.