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Finding the Third Proportional to 12,128.34 and 18,117.84

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Solution

The third proportional to 12,128.34 and 18,117.84 is: 27,065.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,128.34 : 18,117.84 = 18,117.84 : x
  2. Step 2: Convert to fraction form
    12,128.34/18,117.84 = 18,117.84/x
  3. Step 3: Cross multiply
    12,128.34x = 18,117.84 × 18,117.84
  4. Step 4: Simplify right side
    12,128.34x = 328,256,262.15
  5. Step 5: Solve for x
    x = 328,256,262.15/12,128.34
  6. Step 6: Final answer
    x = 27,065.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.