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Finding the Third Proportional to 21,867.50 and 46,846

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Solution

The third proportional to 21,867.50 and 46,846 is: 100,356.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,867.50 : 46,846 = 46,846 : x
  2. Step 2: Convert to fraction form
    21,867.50/46,846 = 46,846/x
  3. Step 3: Cross multiply
    21,867.50x = 46,846 × 46,846
  4. Step 4: Simplify right side
    21,867.50x = 2,194,547,716
  5. Step 5: Solve for x
    x = 2,194,547,716/21,867.50
  6. Step 6: Final answer
    x = 100,356.59

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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.