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Finding the Third Proportional to 9,139 and 19,987

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Solution

The third proportional to 9,139 and 19,987 is: 43,711.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139 : 19,987 = 19,987 : x
  2. Step 2: Convert to fraction form
    9,139/19,987 = 19,987/x
  3. Step 3: Cross multiply
    9,139x = 19,987 × 19,987
  4. Step 4: Simplify right side
    9,139x = 399,480,169
  5. Step 5: Solve for x
    x = 399,480,169/9,139
  6. Step 6: Final answer
    x = 43,711.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.