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Finding the Third Proportional to 45,400 and 70,462

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Solution

The third proportional to 45,400 and 70,462 is: 109,358.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,400 : 70,462 = 70,462 : x
  2. Step 2: Convert to fraction form
    45,400/70,462 = 70,462/x
  3. Step 3: Cross multiply
    45,400x = 70,462 × 70,462
  4. Step 4: Simplify right side
    45,400x = 4,964,893,444
  5. Step 5: Solve for x
    x = 4,964,893,444/45,400
  6. Step 6: Final answer
    x = 109,358.89

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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.