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Finding the Third Proportional to 29,195 and 46,237

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Solution

The third proportional to 29,195 and 46,237 is: 73,226.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,195 : 46,237 = 46,237 : x
  2. Step 2: Convert to fraction form
    29,195/46,237 = 46,237/x
  3. Step 3: Cross multiply
    29,195x = 46,237 × 46,237
  4. Step 4: Simplify right side
    29,195x = 2,137,860,169
  5. Step 5: Solve for x
    x = 2,137,860,169/29,195
  6. Step 6: Final answer
    x = 73,226.93

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.