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Finding the Third Proportional to 42,964 and 60,504

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Solution

The third proportional to 42,964 and 60,504 is: 85,204.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,964 : 60,504 = 60,504 : x
  2. Step 2: Convert to fraction form
    42,964/60,504 = 60,504/x
  3. Step 3: Cross multiply
    42,964x = 60,504 × 60,504
  4. Step 4: Simplify right side
    42,964x = 3,660,734,016
  5. Step 5: Solve for x
    x = 3,660,734,016/42,964
  6. Step 6: Final answer
    x = 85,204.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.