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Finding the Third Proportional to 29,097 and 46,146

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Solution

The third proportional to 29,097 and 46,146 is: 73,184.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,097 : 46,146 = 46,146 : x
  2. Step 2: Convert to fraction form
    29,097/46,146 = 46,146/x
  3. Step 3: Cross multiply
    29,097x = 46,146 × 46,146
  4. Step 4: Simplify right side
    29,097x = 2,129,453,316
  5. Step 5: Solve for x
    x = 2,129,453,316/29,097
  6. Step 6: Final answer
    x = 73,184.63

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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.