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Finding the Third Proportional to 38,626.88 and 59,778

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Solution

The third proportional to 38,626.88 and 59,778 is: 92,510.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,626.88 : 59,778 = 59,778 : x
  2. Step 2: Convert to fraction form
    38,626.88/59,778 = 59,778/x
  3. Step 3: Cross multiply
    38,626.88x = 59,778 × 59,778
  4. Step 4: Simplify right side
    38,626.88x = 3,573,409,284
  5. Step 5: Solve for x
    x = 3,573,409,284/38,626.88
  6. Step 6: Final answer
    x = 92,510.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.