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Finding the Third Proportional to 15,324.75 and 19,957.50

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Solution

The third proportional to 15,324.75 and 19,957.50 is: 25,990.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,324.75 : 19,957.50 = 19,957.50 : x
  2. Step 2: Convert to fraction form
    15,324.75/19,957.50 = 19,957.50/x
  3. Step 3: Cross multiply
    15,324.75x = 19,957.50 × 19,957.50
  4. Step 4: Simplify right side
    15,324.75x = 398,301,806.25
  5. Step 5: Solve for x
    x = 398,301,806.25/15,324.75
  6. Step 6: Final answer
    x = 25,990.75

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.