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Finding the Third Proportional to 48,043.50 and 76,341

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Solution

The third proportional to 48,043.50 and 76,341 is: 121,305.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,043.50 : 76,341 = 76,341 : x
  2. Step 2: Convert to fraction form
    48,043.50/76,341 = 76,341/x
  3. Step 3: Cross multiply
    48,043.50x = 76,341 × 76,341
  4. Step 4: Simplify right side
    48,043.50x = 5,827,948,281
  5. Step 5: Solve for x
    x = 5,827,948,281/48,043.50
  6. Step 6: Final answer
    x = 121,305.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.