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Finding the Third Proportional to 29,889 and 44,776.13

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Solution

The third proportional to 29,889 and 44,776.13 is: 67,078.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,889 : 44,776.13 = 44,776.13 : x
  2. Step 2: Convert to fraction form
    29,889/44,776.13 = 44,776.13/x
  3. Step 3: Cross multiply
    29,889x = 44,776.13 × 44,776.13
  4. Step 4: Simplify right side
    29,889x = 2,004,901,370.02
  5. Step 5: Solve for x
    x = 2,004,901,370.02/29,889
  6. Step 6: Final answer
    x = 67,078.24

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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.