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Finding the Third Proportional to 30,385.13 and 48,070.97

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Solution

The third proportional to 30,385.13 and 48,070.97 is: 76,050.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,385.13 : 48,070.97 = 48,070.97 : x
  2. Step 2: Convert to fraction form
    30,385.13/48,070.97 = 48,070.97/x
  3. Step 3: Cross multiply
    30,385.13x = 48,070.97 × 48,070.97
  4. Step 4: Simplify right side
    30,385.13x = 2,310,818,036.56
  5. Step 5: Solve for x
    x = 2,310,818,036.56/30,385.13
  6. Step 6: Final answer
    x = 76,050.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.