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Finding the Third Proportional to 22,167 and 46,482

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Solution

The third proportional to 22,167 and 46,482 is: 97,468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,167 : 46,482 = 46,482 : x
  2. Step 2: Convert to fraction form
    22,167/46,482 = 46,482/x
  3. Step 3: Cross multiply
    22,167x = 46,482 × 46,482
  4. Step 4: Simplify right side
    22,167x = 2,160,576,324
  5. Step 5: Solve for x
    x = 2,160,576,324/22,167
  6. Step 6: Final answer
    x = 97,468.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.