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Finding the Third Proportional to 45,027 and 65,215.13

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Solution

The third proportional to 45,027 and 65,215.13 is: 94,454.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,027 : 65,215.13 = 65,215.13 : x
  2. Step 2: Convert to fraction form
    45,027/65,215.13 = 65,215.13/x
  3. Step 3: Cross multiply
    45,027x = 65,215.13 × 65,215.13
  4. Step 4: Simplify right side
    45,027x = 4,253,012,528.77
  5. Step 5: Solve for x
    x = 4,253,012,528.77/45,027
  6. Step 6: Final answer
    x = 94,454.72

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.