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Finding the Third Proportional to 15,646 and 23,471

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Solution

The third proportional to 15,646 and 23,471 is: 35,209.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,646 : 23,471 = 23,471 : x
  2. Step 2: Convert to fraction form
    15,646/23,471 = 23,471/x
  3. Step 3: Cross multiply
    15,646x = 23,471 × 23,471
  4. Step 4: Simplify right side
    15,646x = 550,887,841
  5. Step 5: Solve for x
    x = 550,887,841/15,646
  6. Step 6: Final answer
    x = 35,209.50

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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.