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Finding the Third Proportional to 19,323 and 25,882.50

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Solution

The third proportional to 19,323 and 25,882.50 is: 34,668.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,323 : 25,882.50 = 25,882.50 : x
  2. Step 2: Convert to fraction form
    19,323/25,882.50 = 25,882.50/x
  3. Step 3: Cross multiply
    19,323x = 25,882.50 × 25,882.50
  4. Step 4: Simplify right side
    19,323x = 669,903,806.25
  5. Step 5: Solve for x
    x = 669,903,806.25/19,323
  6. Step 6: Final answer
    x = 34,668.73

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.