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Finding the Third Proportional to 5,580 and 11,700

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Solution

The third proportional to 5,580 and 11,700 is: 24,532.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,580 : 11,700 = 11,700 : x
  2. Step 2: Convert to fraction form
    5,580/11,700 = 11,700/x
  3. Step 3: Cross multiply
    5,580x = 11,700 × 11,700
  4. Step 4: Simplify right side
    5,580x = 136,890,000
  5. Step 5: Solve for x
    x = 136,890,000/5,580
  6. Step 6: Final answer
    x = 24,532.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.