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Finding the Third Proportional to 15,769 and 23,719.50

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Solution

The third proportional to 15,769 and 23,719.50 is: 35,678.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,769 : 23,719.50 = 23,719.50 : x
  2. Step 2: Convert to fraction form
    15,769/23,719.50 = 23,719.50/x
  3. Step 3: Cross multiply
    15,769x = 23,719.50 × 23,719.50
  4. Step 4: Simplify right side
    15,769x = 562,614,680.25
  5. Step 5: Solve for x
    x = 562,614,680.25/15,769
  6. Step 6: Final answer
    x = 35,678.53

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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.