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Finding the Third Proportional to 9,810 and 15,174

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Solution

The third proportional to 9,810 and 15,174 is: 23,470.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810 : 15,174 = 15,174 : x
  2. Step 2: Convert to fraction form
    9,810/15,174 = 15,174/x
  3. Step 3: Cross multiply
    9,810x = 15,174 × 15,174
  4. Step 4: Simplify right side
    9,810x = 230,250,276
  5. Step 5: Solve for x
    x = 230,250,276/9,810
  6. Step 6: Final answer
    x = 23,470.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.