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Finding the Third Proportional to 11,790 and 25,417.31

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Solution

The third proportional to 11,790 and 25,417.31 is: 54,795.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,790 : 25,417.31 = 25,417.31 : x
  2. Step 2: Convert to fraction form
    11,790/25,417.31 = 25,417.31/x
  3. Step 3: Cross multiply
    11,790x = 25,417.31 × 25,417.31
  4. Step 4: Simplify right side
    11,790x = 646,039,774.72
  5. Step 5: Solve for x
    x = 646,039,774.72/11,790
  6. Step 6: Final answer
    x = 54,795.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.