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Finding the Third Proportional to 42,810 and 56,820

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Solution

The third proportional to 42,810 and 56,820 is: 75,414.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,810 : 56,820 = 56,820 : x
  2. Step 2: Convert to fraction form
    42,810/56,820 = 56,820/x
  3. Step 3: Cross multiply
    42,810x = 56,820 × 56,820
  4. Step 4: Simplify right side
    42,810x = 3,228,512,400
  5. Step 5: Solve for x
    x = 3,228,512,400/42,810
  6. Step 6: Final answer
    x = 75,414.91

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.