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Finding the Third Proportional to 4,088.06 and 8,830.31

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Solution

The third proportional to 4,088.06 and 8,830.31 is: 19,073.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,088.06 : 8,830.31 = 8,830.31 : x
  2. Step 2: Convert to fraction form
    4,088.06/8,830.31 = 8,830.31/x
  3. Step 3: Cross multiply
    4,088.06x = 8,830.31 × 8,830.31
  4. Step 4: Simplify right side
    4,088.06x = 77,974,418.85
  5. Step 5: Solve for x
    x = 77,974,418.85/4,088.06
  6. Step 6: Final answer
    x = 19,073.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.