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Finding the Third Proportional to 15,877 and 23,341

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Solution

The third proportional to 15,877 and 23,341 is: 34,313.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,877 : 23,341 = 23,341 : x
  2. Step 2: Convert to fraction form
    15,877/23,341 = 23,341/x
  3. Step 3: Cross multiply
    15,877x = 23,341 × 23,341
  4. Step 4: Simplify right side
    15,877x = 544,802,281
  5. Step 5: Solve for x
    x = 544,802,281/15,877
  6. Step 6: Final answer
    x = 34,313.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.