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Finding the Third Proportional to 42,705 and 60,834.75

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Solution

The third proportional to 42,705 and 60,834.75 is: 86,661.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,705 : 60,834.75 = 60,834.75 : x
  2. Step 2: Convert to fraction form
    42,705/60,834.75 = 60,834.75/x
  3. Step 3: Cross multiply
    42,705x = 60,834.75 × 60,834.75
  4. Step 4: Simplify right side
    42,705x = 3,700,866,807.56
  5. Step 5: Solve for x
    x = 3,700,866,807.56/42,705
  6. Step 6: Final answer
    x = 86,661.21

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.