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Finding the Third Proportional to 30,590 and 48,671

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Solution

The third proportional to 30,590 and 48,671 is: 77,439.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,590 : 48,671 = 48,671 : x
  2. Step 2: Convert to fraction form
    30,590/48,671 = 48,671/x
  3. Step 3: Cross multiply
    30,590x = 48,671 × 48,671
  4. Step 4: Simplify right side
    30,590x = 2,368,866,241
  5. Step 5: Solve for x
    x = 2,368,866,241/30,590
  6. Step 6: Final answer
    x = 77,439.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.