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Finding the Third Proportional to 42,823.50 and 60,867

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Solution

The third proportional to 42,823.50 and 60,867 is: 86,513.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,823.50 : 60,867 = 60,867 : x
  2. Step 2: Convert to fraction form
    42,823.50/60,867 = 60,867/x
  3. Step 3: Cross multiply
    42,823.50x = 60,867 × 60,867
  4. Step 4: Simplify right side
    42,823.50x = 3,704,791,689
  5. Step 5: Solve for x
    x = 3,704,791,689/42,823.50
  6. Step 6: Final answer
    x = 86,513.05

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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.