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Finding the Third Proportional to 30,344 and 45,281

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Solution

The third proportional to 30,344 and 45,281 is: 67,570.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,344 : 45,281 = 45,281 : x
  2. Step 2: Convert to fraction form
    30,344/45,281 = 45,281/x
  3. Step 3: Cross multiply
    30,344x = 45,281 × 45,281
  4. Step 4: Simplify right side
    30,344x = 2,050,368,961
  5. Step 5: Solve for x
    x = 2,050,368,961/30,344
  6. Step 6: Final answer
    x = 67,570.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.