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Finding the Third Proportional to 19,988 and 31,086

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Solution

The third proportional to 19,988 and 31,086 is: 48,345.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,988 : 31,086 = 31,086 : x
  2. Step 2: Convert to fraction form
    19,988/31,086 = 31,086/x
  3. Step 3: Cross multiply
    19,988x = 31,086 × 31,086
  4. Step 4: Simplify right side
    19,988x = 966,339,396
  5. Step 5: Solve for x
    x = 966,339,396/19,988
  6. Step 6: Final answer
    x = 48,345.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.