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Finding the Third Proportional to 46,413 and 74,731

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Solution

The third proportional to 46,413 and 74,731 is: 120,326.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,413 : 74,731 = 74,731 : x
  2. Step 2: Convert to fraction form
    46,413/74,731 = 74,731/x
  3. Step 3: Cross multiply
    46,413x = 74,731 × 74,731
  4. Step 4: Simplify right side
    46,413x = 5,584,722,361
  5. Step 5: Solve for x
    x = 5,584,722,361/46,413
  6. Step 6: Final answer
    x = 120,326.68

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.