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Finding the Third Proportional to 15,172 and 22,970

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Solution

The third proportional to 15,172 and 22,970 is: 34,775.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,172 : 22,970 = 22,970 : x
  2. Step 2: Convert to fraction form
    15,172/22,970 = 22,970/x
  3. Step 3: Cross multiply
    15,172x = 22,970 × 22,970
  4. Step 4: Simplify right side
    15,172x = 527,620,900
  5. Step 5: Solve for x
    x = 527,620,900/15,172
  6. Step 6: Final answer
    x = 34,775.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.