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Finding the Third Proportional to 25,489.50 and 55,587

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Solution

The third proportional to 25,489.50 and 55,587 is: 121,223.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,489.50 : 55,587 = 55,587 : x
  2. Step 2: Convert to fraction form
    25,489.50/55,587 = 55,587/x
  3. Step 3: Cross multiply
    25,489.50x = 55,587 × 55,587
  4. Step 4: Simplify right side
    25,489.50x = 3,089,914,569
  5. Step 5: Solve for x
    x = 3,089,914,569/25,489.50
  6. Step 6: Final answer
    x = 121,223.04

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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.