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Finding the Third Proportional to 9,580 and 11,164

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Solution

The third proportional to 9,580 and 11,164 is: 13,009.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580 : 11,164 = 11,164 : x
  2. Step 2: Convert to fraction form
    9,580/11,164 = 11,164/x
  3. Step 3: Cross multiply
    9,580x = 11,164 × 11,164
  4. Step 4: Simplify right side
    9,580x = 124,634,896
  5. Step 5: Solve for x
    x = 124,634,896/9,580
  6. Step 6: Final answer
    x = 13,009.91

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.