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Finding the Third Proportional to 44,873 and 69,470

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Solution

The third proportional to 44,873 and 69,470 is: 107,549.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,873 : 69,470 = 69,470 : x
  2. Step 2: Convert to fraction form
    44,873/69,470 = 69,470/x
  3. Step 3: Cross multiply
    44,873x = 69,470 × 69,470
  4. Step 4: Simplify right side
    44,873x = 4,826,080,900
  5. Step 5: Solve for x
    x = 4,826,080,900/44,873
  6. Step 6: Final answer
    x = 107,549.77

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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.