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Finding the Third Proportional to 29,022 and 46,017

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Solution

The third proportional to 29,022 and 46,017 is: 72,964.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,022 : 46,017 = 46,017 : x
  2. Step 2: Convert to fraction form
    29,022/46,017 = 46,017/x
  3. Step 3: Cross multiply
    29,022x = 46,017 × 46,017
  4. Step 4: Simplify right side
    29,022x = 2,117,564,289
  5. Step 5: Solve for x
    x = 2,117,564,289/29,022
  6. Step 6: Final answer
    x = 72,964.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.