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Finding the Third Proportional to 30,382 and 47,564

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Solution

The third proportional to 30,382 and 47,564 is: 74,462.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,382 : 47,564 = 47,564 : x
  2. Step 2: Convert to fraction form
    30,382/47,564 = 47,564/x
  3. Step 3: Cross multiply
    30,382x = 47,564 × 47,564
  4. Step 4: Simplify right side
    30,382x = 2,262,334,096
  5. Step 5: Solve for x
    x = 2,262,334,096/30,382
  6. Step 6: Final answer
    x = 74,462.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.