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Finding the Third Proportional to 10,431 and 14,719.50

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Solution

The third proportional to 10,431 and 14,719.50 is: 20,771.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431 : 14,719.50 = 14,719.50 : x
  2. Step 2: Convert to fraction form
    10,431/14,719.50 = 14,719.50/x
  3. Step 3: Cross multiply
    10,431x = 14,719.50 × 14,719.50
  4. Step 4: Simplify right side
    10,431x = 216,663,680.25
  5. Step 5: Solve for x
    x = 216,663,680.25/10,431
  6. Step 6: Final answer
    x = 20,771.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.