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Finding the Third Proportional to 25,214.63 and 54,866.25

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Solution

The third proportional to 25,214.63 and 54,866.25 is: 119,387.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,214.63 : 54,866.25 = 54,866.25 : x
  2. Step 2: Convert to fraction form
    25,214.63/54,866.25 = 54,866.25/x
  3. Step 3: Cross multiply
    25,214.63x = 54,866.25 × 54,866.25
  4. Step 4: Simplify right side
    25,214.63x = 3,010,305,389.06
  5. Step 5: Solve for x
    x = 3,010,305,389.06/25,214.63
  6. Step 6: Final answer
    x = 119,387.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.