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Finding the Third Proportional to 10,403 and 15,736.50

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Solution

The third proportional to 10,403 and 15,736.50 is: 23,804.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,403 : 15,736.50 = 15,736.50 : x
  2. Step 2: Convert to fraction form
    10,403/15,736.50 = 15,736.50/x
  3. Step 3: Cross multiply
    10,403x = 15,736.50 × 15,736.50
  4. Step 4: Simplify right side
    10,403x = 247,637,432.25
  5. Step 5: Solve for x
    x = 247,637,432.25/10,403
  6. Step 6: Final answer
    x = 23,804.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.