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Finding the Third Proportional to 11,178 and 22,987.13

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Solution

The third proportional to 11,178 and 22,987.13 is: 47,272.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,178 : 22,987.13 = 22,987.13 : x
  2. Step 2: Convert to fraction form
    11,178/22,987.13 = 22,987.13/x
  3. Step 3: Cross multiply
    11,178x = 22,987.13 × 22,987.13
  4. Step 4: Simplify right side
    11,178x = 528,407,915.77
  5. Step 5: Solve for x
    x = 528,407,915.77/11,178
  6. Step 6: Final answer
    x = 47,272.13

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.