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Finding the Third Proportional to 7,586 and 15,502

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Solution

The third proportional to 7,586 and 15,502 is: 31,678.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586 : 15,502 = 15,502 : x
  2. Step 2: Convert to fraction form
    7,586/15,502 = 15,502/x
  3. Step 3: Cross multiply
    7,586x = 15,502 × 15,502
  4. Step 4: Simplify right side
    7,586x = 240,312,004
  5. Step 5: Solve for x
    x = 240,312,004/7,586
  6. Step 6: Final answer
    x = 31,678.36

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.