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Finding the Third Proportional to 45,424 and 70,498

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Solution

The third proportional to 45,424 and 70,498 is: 109,412.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,424 : 70,498 = 70,498 : x
  2. Step 2: Convert to fraction form
    45,424/70,498 = 70,498/x
  3. Step 3: Cross multiply
    45,424x = 70,498 × 70,498
  4. Step 4: Simplify right side
    45,424x = 4,969,968,004
  5. Step 5: Solve for x
    x = 4,969,968,004/45,424
  6. Step 6: Final answer
    x = 109,412.82

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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.