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Finding the Third Proportional to 30,276 and 45,424

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Solution

The third proportional to 30,276 and 45,424 is: 68,151.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,276 : 45,424 = 45,424 : x
  2. Step 2: Convert to fraction form
    30,276/45,424 = 45,424/x
  3. Step 3: Cross multiply
    30,276x = 45,424 × 45,424
  4. Step 4: Simplify right side
    30,276x = 2,063,339,776
  5. Step 5: Solve for x
    x = 2,063,339,776/30,276
  6. Step 6: Final answer
    x = 68,151.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.