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Finding the Third Proportional to 34,461 and 45,366.75

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Solution

The third proportional to 34,461 and 45,366.75 is: 59,723.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,461 : 45,366.75 = 45,366.75 : x
  2. Step 2: Convert to fraction form
    34,461/45,366.75 = 45,366.75/x
  3. Step 3: Cross multiply
    34,461x = 45,366.75 × 45,366.75
  4. Step 4: Simplify right side
    34,461x = 2,058,142,005.56
  5. Step 5: Solve for x
    x = 2,058,142,005.56/34,461
  6. Step 6: Final answer
    x = 59,723.80

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.