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Finding the Third Proportional to 12,284.16 and 18,883.13

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Solution

The third proportional to 12,284.16 and 18,883.13 is: 29,027.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284.16 : 18,883.13 = 18,883.13 : x
  2. Step 2: Convert to fraction form
    12,284.16/18,883.13 = 18,883.13/x
  3. Step 3: Cross multiply
    12,284.16x = 18,883.13 × 18,883.13
  4. Step 4: Simplify right side
    12,284.16x = 356,572,409.77
  5. Step 5: Solve for x
    x = 356,572,409.77/12,284.16
  6. Step 6: Final answer
    x = 29,027.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.