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Finding the Third Proportional to 35,876.25 and 78,211.13

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Solution

The third proportional to 35,876.25 and 78,211.13 is: 170,502.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,876.25 : 78,211.13 = 78,211.13 : x
  2. Step 2: Convert to fraction form
    35,876.25/78,211.13 = 78,211.13/x
  3. Step 3: Cross multiply
    35,876.25x = 78,211.13 × 78,211.13
  4. Step 4: Simplify right side
    35,876.25x = 6,116,980,073.77
  5. Step 5: Solve for x
    x = 6,116,980,073.77/35,876.25
  6. Step 6: Final answer
    x = 170,502.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.