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Finding the Third Proportional to 46,497.38 and 68,131.13

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Solution

The third proportional to 46,497.38 and 68,131.13 is: 99,830.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,497.38 : 68,131.13 = 68,131.13 : x
  2. Step 2: Convert to fraction form
    46,497.38/68,131.13 = 68,131.13/x
  3. Step 3: Cross multiply
    46,497.38x = 68,131.13 × 68,131.13
  4. Step 4: Simplify right side
    46,497.38x = 4,641,850,193.77
  5. Step 5: Solve for x
    x = 4,641,850,193.77/46,497.38
  6. Step 6: Final answer
    x = 99,830.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.