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Finding the Third Proportional to 42,230 and 56,853

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Solution

The third proportional to 42,230 and 56,853 is: 76,539.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,230 : 56,853 = 56,853 : x
  2. Step 2: Convert to fraction form
    42,230/56,853 = 56,853/x
  3. Step 3: Cross multiply
    42,230x = 56,853 × 56,853
  4. Step 4: Simplify right side
    42,230x = 3,232,263,609
  5. Step 5: Solve for x
    x = 3,232,263,609/42,230
  6. Step 6: Final answer
    x = 76,539.51

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.