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Finding the Third Proportional to 9,268.17 and 14,363.10

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Solution

The third proportional to 9,268.17 and 14,363.10 is: 22,258.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,268.17 : 14,363.10 = 14,363.10 : x
  2. Step 2: Convert to fraction form
    9,268.17/14,363.10 = 14,363.10/x
  3. Step 3: Cross multiply
    9,268.17x = 14,363.10 × 14,363.10
  4. Step 4: Simplify right side
    9,268.17x = 206,298,742.60
  5. Step 5: Solve for x
    x = 206,298,742.60/9,268.17
  6. Step 6: Final answer
    x = 22,258.84

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Why These Related Problems?

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