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Finding the Third Proportional to 34,210 and 48,003

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Solution

The third proportional to 34,210 and 48,003 is: 67,357.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,210 : 48,003 = 48,003 : x
  2. Step 2: Convert to fraction form
    34,210/48,003 = 48,003/x
  3. Step 3: Cross multiply
    34,210x = 48,003 × 48,003
  4. Step 4: Simplify right side
    34,210x = 2,304,288,009
  5. Step 5: Solve for x
    x = 2,304,288,009/34,210
  6. Step 6: Final answer
    x = 67,357.15

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.