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Finding the Third Proportional to 2,088.31 and 4,447.38

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Solution

The third proportional to 2,088.31 and 4,447.38 is: 9,471.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.31 : 4,447.38 = 4,447.38 : x
  2. Step 2: Convert to fraction form
    2,088.31/4,447.38 = 4,447.38/x
  3. Step 3: Cross multiply
    2,088.31x = 4,447.38 × 4,447.38
  4. Step 4: Simplify right side
    2,088.31x = 19,779,144.39
  5. Step 5: Solve for x
    x = 19,779,144.39/2,088.31
  6. Step 6: Final answer
    x = 9,471.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.