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Finding the Third Proportional to 35,730 and 76,377.75

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Solution

The third proportional to 35,730 and 76,377.75 is: 163,267.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,730 : 76,377.75 = 76,377.75 : x
  2. Step 2: Convert to fraction form
    35,730/76,377.75 = 76,377.75/x
  3. Step 3: Cross multiply
    35,730x = 76,377.75 × 76,377.75
  4. Step 4: Simplify right side
    35,730x = 5,833,560,695.06
  5. Step 5: Solve for x
    x = 5,833,560,695.06/35,730
  6. Step 6: Final answer
    x = 163,267.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.