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Finding the Third Proportional to 9,484.59 and 13,862.39

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Solution

The third proportional to 9,484.59 and 13,862.39 is: 20,260.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484.59 : 13,862.39 = 13,862.39 : x
  2. Step 2: Convert to fraction form
    9,484.59/13,862.39 = 13,862.39/x
  3. Step 3: Cross multiply
    9,484.59x = 13,862.39 × 13,862.39
  4. Step 4: Simplify right side
    9,484.59x = 192,165,873.84
  5. Step 5: Solve for x
    x = 192,165,873.84/9,484.59
  6. Step 6: Final answer
    x = 20,260.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.