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Finding the Third Proportional to 15,710 and 22,393

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Solution

The third proportional to 15,710 and 22,393 is: 31,918.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,710 : 22,393 = 22,393 : x
  2. Step 2: Convert to fraction form
    15,710/22,393 = 22,393/x
  3. Step 3: Cross multiply
    15,710x = 22,393 × 22,393
  4. Step 4: Simplify right side
    15,710x = 501,446,449
  5. Step 5: Solve for x
    x = 501,446,449/15,710
  6. Step 6: Final answer
    x = 31,918.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.