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Finding the Third Proportional to 15,409 and 23,806.50

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Solution

The third proportional to 15,409 and 23,806.50 is: 36,780.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,409 : 23,806.50 = 23,806.50 : x
  2. Step 2: Convert to fraction form
    15,409/23,806.50 = 23,806.50/x
  3. Step 3: Cross multiply
    15,409x = 23,806.50 × 23,806.50
  4. Step 4: Simplify right side
    15,409x = 566,749,442.25
  5. Step 5: Solve for x
    x = 566,749,442.25/15,409
  6. Step 6: Final answer
    x = 36,780.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.