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Finding the Third Proportional to 5,881.83 and 9,111.08

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Solution

The third proportional to 5,881.83 and 9,111.08 is: 14,113.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.83 : 9,111.08 = 9,111.08 : x
  2. Step 2: Convert to fraction form
    5,881.83/9,111.08 = 9,111.08/x
  3. Step 3: Cross multiply
    5,881.83x = 9,111.08 × 9,111.08
  4. Step 4: Simplify right side
    5,881.83x = 83,011,709.01
  5. Step 5: Solve for x
    x = 83,011,709.01/5,881.83
  6. Step 6: Final answer
    x = 14,113.24

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.