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Finding the Third Proportional to 40,776.75 and 89,829

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Solution

The third proportional to 40,776.75 and 89,829 is: 197,888.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,776.75 : 89,829 = 89,829 : x
  2. Step 2: Convert to fraction form
    40,776.75/89,829 = 89,829/x
  3. Step 3: Cross multiply
    40,776.75x = 89,829 × 89,829
  4. Step 4: Simplify right side
    40,776.75x = 8,069,249,241
  5. Step 5: Solve for x
    x = 8,069,249,241/40,776.75
  6. Step 6: Final answer
    x = 197,888.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.