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Finding the Third Proportional to 21,519.50 and 46,438

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Solution

The third proportional to 21,519.50 and 46,438 is: 100,210.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,519.50 : 46,438 = 46,438 : x
  2. Step 2: Convert to fraction form
    21,519.50/46,438 = 46,438/x
  3. Step 3: Cross multiply
    21,519.50x = 46,438 × 46,438
  4. Step 4: Simplify right side
    21,519.50x = 2,156,487,844
  5. Step 5: Solve for x
    x = 2,156,487,844/21,519.50
  6. Step 6: Final answer
    x = 100,210.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.