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Finding the Third Proportional to 30,376 and 47,543

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Solution

The third proportional to 30,376 and 47,543 is: 74,411.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,376 : 47,543 = 47,543 : x
  2. Step 2: Convert to fraction form
    30,376/47,543 = 47,543/x
  3. Step 3: Cross multiply
    30,376x = 47,543 × 47,543
  4. Step 4: Simplify right side
    30,376x = 2,260,336,849
  5. Step 5: Solve for x
    x = 2,260,336,849/30,376
  6. Step 6: Final answer
    x = 74,411.93

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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.