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Finding the Third Proportional to 15,806 and 23,668.50

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Solution

The third proportional to 15,806 and 23,668.50 is: 35,442.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,806 : 23,668.50 = 23,668.50 : x
  2. Step 2: Convert to fraction form
    15,806/23,668.50 = 23,668.50/x
  3. Step 3: Cross multiply
    15,806x = 23,668.50 × 23,668.50
  4. Step 4: Simplify right side
    15,806x = 560,197,892.25
  5. Step 5: Solve for x
    x = 560,197,892.25/15,806
  6. Step 6: Final answer
    x = 35,442.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.