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Finding the Third Proportional to 15,320 and 22,980

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Solution

The third proportional to 15,320 and 22,980 is: 34,470

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,320 : 22,980 = 22,980 : x
  2. Step 2: Convert to fraction form
    15,320/22,980 = 22,980/x
  3. Step 3: Cross multiply
    15,320x = 22,980 × 22,980
  4. Step 4: Simplify right side
    15,320x = 528,080,400
  5. Step 5: Solve for x
    x = 528,080,400/15,320
  6. Step 6: Final answer
    x = 34,470

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.