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Finding the Third Proportional to 30,658 and 56,940

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Solution

The third proportional to 30,658 and 56,940 is: 105,752.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,658 : 56,940 = 56,940 : x
  2. Step 2: Convert to fraction form
    30,658/56,940 = 56,940/x
  3. Step 3: Cross multiply
    30,658x = 56,940 × 56,940
  4. Step 4: Simplify right side
    30,658x = 3,242,163,600
  5. Step 5: Solve for x
    x = 3,242,163,600/30,658
  6. Step 6: Final answer
    x = 105,752.61

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.