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Finding the Third Proportional to 15,731 and 22,947

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Solution

The third proportional to 15,731 and 22,947 is: 33,473.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,731 : 22,947 = 22,947 : x
  2. Step 2: Convert to fraction form
    15,731/22,947 = 22,947/x
  3. Step 3: Cross multiply
    15,731x = 22,947 × 22,947
  4. Step 4: Simplify right side
    15,731x = 526,564,809
  5. Step 5: Solve for x
    x = 526,564,809/15,731
  6. Step 6: Final answer
    x = 33,473.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.