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Finding the Third Proportional to 29,398.88 and 44,164.50

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Solution

The third proportional to 29,398.88 and 44,164.50 is: 66,346.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,398.88 : 44,164.50 = 44,164.50 : x
  2. Step 2: Convert to fraction form
    29,398.88/44,164.50 = 44,164.50/x
  3. Step 3: Cross multiply
    29,398.88x = 44,164.50 × 44,164.50
  4. Step 4: Simplify right side
    29,398.88x = 1,950,503,060.25
  5. Step 5: Solve for x
    x = 1,950,503,060.25/29,398.88
  6. Step 6: Final answer
    x = 66,346.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.