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Finding the Third Proportional to 7,580 and 15,490

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Solution

The third proportional to 7,580 and 15,490 is: 31,654.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580 : 15,490 = 15,490 : x
  2. Step 2: Convert to fraction form
    7,580/15,490 = 15,490/x
  3. Step 3: Cross multiply
    7,580x = 15,490 × 15,490
  4. Step 4: Simplify right side
    7,580x = 239,940,100
  5. Step 5: Solve for x
    x = 239,940,100/7,580
  6. Step 6: Final answer
    x = 31,654.37

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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.