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Finding the Third Proportional to 19,718 and 31,216

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Solution

The third proportional to 19,718 and 31,216 is: 49,418.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,718 : 31,216 = 31,216 : x
  2. Step 2: Convert to fraction form
    19,718/31,216 = 31,216/x
  3. Step 3: Cross multiply
    19,718x = 31,216 × 31,216
  4. Step 4: Simplify right side
    19,718x = 974,438,656
  5. Step 5: Solve for x
    x = 974,438,656/19,718
  6. Step 6: Final answer
    x = 49,418.74

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.