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Finding the Third Proportional to 29,098 and 46,491

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Solution

The third proportional to 29,098 and 46,491 is: 74,280.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,098 : 46,491 = 46,491 : x
  2. Step 2: Convert to fraction form
    29,098/46,491 = 46,491/x
  3. Step 3: Cross multiply
    29,098x = 46,491 × 46,491
  4. Step 4: Simplify right side
    29,098x = 2,161,413,081
  5. Step 5: Solve for x
    x = 2,161,413,081/29,098
  6. Step 6: Final answer
    x = 74,280.47

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.