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Finding the Third Proportional to 29,181 and 45,271.50

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Solution

The third proportional to 29,181 and 45,271.50 is: 70,234.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,181 : 45,271.50 = 45,271.50 : x
  2. Step 2: Convert to fraction form
    29,181/45,271.50 = 45,271.50/x
  3. Step 3: Cross multiply
    29,181x = 45,271.50 × 45,271.50
  4. Step 4: Simplify right side
    29,181x = 2,049,508,712.25
  5. Step 5: Solve for x
    x = 2,049,508,712.25/29,181
  6. Step 6: Final answer
    x = 70,234.35

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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.