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Finding the Third Proportional to 15,883.88 and 23,363.81

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Solution

The third proportional to 15,883.88 and 23,363.81 is: 34,366.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,883.88 : 23,363.81 = 23,363.81 : x
  2. Step 2: Convert to fraction form
    15,883.88/23,363.81 = 23,363.81/x
  3. Step 3: Cross multiply
    15,883.88x = 23,363.81 × 23,363.81
  4. Step 4: Simplify right side
    15,883.88x = 545,867,734.54
  5. Step 5: Solve for x
    x = 545,867,734.54/15,883.88
  6. Step 6: Final answer
    x = 34,366.16

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Why These Related Problems?

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