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Finding the Third Proportional to 30,176 and 34,720

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Solution

The third proportional to 30,176 and 34,720 is: 39,948.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,176 : 34,720 = 34,720 : x
  2. Step 2: Convert to fraction form
    30,176/34,720 = 34,720/x
  3. Step 3: Cross multiply
    30,176x = 34,720 × 34,720
  4. Step 4: Simplify right side
    30,176x = 1,205,478,400
  5. Step 5: Solve for x
    x = 1,205,478,400/30,176
  6. Step 6: Final answer
    x = 39,948.25

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.