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Finding the Third Proportional to 5,881.83 and 8,649.76

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Solution

The third proportional to 5,881.83 and 8,649.76 is: 12,720.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.83 : 8,649.76 = 8,649.76 : x
  2. Step 2: Convert to fraction form
    5,881.83/8,649.76 = 8,649.76/x
  3. Step 3: Cross multiply
    5,881.83x = 8,649.76 × 8,649.76
  4. Step 4: Simplify right side
    5,881.83x = 74,818,276.43
  5. Step 5: Solve for x
    x = 74,818,276.43/5,881.83
  6. Step 6: Final answer
    x = 12,720.23

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.