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Finding the Third Proportional to 40,737.15 and 84,293.47

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Solution

The third proportional to 40,737.15 and 84,293.47 is: 174,420.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,737.15 : 84,293.47 = 84,293.47 : x
  2. Step 2: Convert to fraction form
    40,737.15/84,293.47 = 84,293.47/x
  3. Step 3: Cross multiply
    40,737.15x = 84,293.47 × 84,293.47
  4. Step 4: Simplify right side
    40,737.15x = 7,105,389,532.45
  5. Step 5: Solve for x
    x = 7,105,389,532.45/40,737.15
  6. Step 6: Final answer
    x = 174,420.40

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.