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Finding the Third Proportional to 45,981 and 71,041.50

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Solution

The third proportional to 45,981 and 71,041.50 is: 109,760.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,981 : 71,041.50 = 71,041.50 : x
  2. Step 2: Convert to fraction form
    45,981/71,041.50 = 71,041.50/x
  3. Step 3: Cross multiply
    45,981x = 71,041.50 × 71,041.50
  4. Step 4: Simplify right side
    45,981x = 5,046,894,722.25
  5. Step 5: Solve for x
    x = 5,046,894,722.25/45,981
  6. Step 6: Final answer
    x = 109,760.44

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