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Finding the Third Proportional to 21,087 and 31,569.75

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Solution

The third proportional to 21,087 and 31,569.75 is: 47,263.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,087 : 31,569.75 = 31,569.75 : x
  2. Step 2: Convert to fraction form
    21,087/31,569.75 = 31,569.75/x
  3. Step 3: Cross multiply
    21,087x = 31,569.75 × 31,569.75
  4. Step 4: Simplify right side
    21,087x = 996,649,115.06
  5. Step 5: Solve for x
    x = 996,649,115.06/21,087
  6. Step 6: Final answer
    x = 47,263.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.