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Finding the Third Proportional to 19,655 and 31,259

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Solution

The third proportional to 19,655 and 31,259 is: 49,713.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,655 : 31,259 = 31,259 : x
  2. Step 2: Convert to fraction form
    19,655/31,259 = 31,259/x
  3. Step 3: Cross multiply
    19,655x = 31,259 × 31,259
  4. Step 4: Simplify right side
    19,655x = 977,125,081
  5. Step 5: Solve for x
    x = 977,125,081/19,655
  6. Step 6: Final answer
    x = 49,713.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.