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Finding the Third Proportional to 19,856 and 42,590

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Solution

The third proportional to 19,856 and 42,590 is: 91,353.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,856 : 42,590 = 42,590 : x
  2. Step 2: Convert to fraction form
    19,856/42,590 = 42,590/x
  3. Step 3: Cross multiply
    19,856x = 42,590 × 42,590
  4. Step 4: Simplify right side
    19,856x = 1,813,908,100
  5. Step 5: Solve for x
    x = 1,813,908,100/19,856
  6. Step 6: Final answer
    x = 91,353.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.