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Finding the Third Proportional to 14,431 and 31,508.50

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Solution

The third proportional to 14,431 and 31,508.50 is: 68,795.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,431 : 31,508.50 = 31,508.50 : x
  2. Step 2: Convert to fraction form
    14,431/31,508.50 = 31,508.50/x
  3. Step 3: Cross multiply
    14,431x = 31,508.50 × 31,508.50
  4. Step 4: Simplify right side
    14,431x = 992,785,572.25
  5. Step 5: Solve for x
    x = 992,785,572.25/14,431
  6. Step 6: Final answer
    x = 68,795.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.