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Finding the Third Proportional to 45,890 and 70,587

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Solution

The third proportional to 45,890 and 70,587 is: 108,575.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,890 : 70,587 = 70,587 : x
  2. Step 2: Convert to fraction form
    45,890/70,587 = 70,587/x
  3. Step 3: Cross multiply
    45,890x = 70,587 × 70,587
  4. Step 4: Simplify right side
    45,890x = 4,982,524,569
  5. Step 5: Solve for x
    x = 4,982,524,569/45,890
  6. Step 6: Final answer
    x = 108,575.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.