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Finding the Third Proportional to 13,032.75 and 25,417.50

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Solution

The third proportional to 13,032.75 and 25,417.50 is: 49,571.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,032.75 : 25,417.50 = 25,417.50 : x
  2. Step 2: Convert to fraction form
    13,032.75/25,417.50 = 25,417.50/x
  3. Step 3: Cross multiply
    13,032.75x = 25,417.50 × 25,417.50
  4. Step 4: Simplify right side
    13,032.75x = 646,049,306.25
  5. Step 5: Solve for x
    x = 646,049,306.25/13,032.75
  6. Step 6: Final answer
    x = 49,571.22

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.