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Finding the Third Proportional to 9,076.88 and 18,985.13

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Solution

The third proportional to 9,076.88 and 18,985.13 is: 39,709.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.88 : 18,985.13 = 18,985.13 : x
  2. Step 2: Convert to fraction form
    9,076.88/18,985.13 = 18,985.13/x
  3. Step 3: Cross multiply
    9,076.88x = 18,985.13 × 18,985.13
  4. Step 4: Simplify right side
    9,076.88x = 360,434,971.27
  5. Step 5: Solve for x
    x = 360,434,971.27/9,076.88
  6. Step 6: Final answer
    x = 39,709.15

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.