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Finding the Third Proportional to 49,329 and 74,616.19

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Solution

The third proportional to 49,329 and 74,616.19 is: 112,866.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,329 : 74,616.19 = 74,616.19 : x
  2. Step 2: Convert to fraction form
    49,329/74,616.19 = 74,616.19/x
  3. Step 3: Cross multiply
    49,329x = 74,616.19 × 74,616.19
  4. Step 4: Simplify right side
    49,329x = 5,567,575,437.04
  5. Step 5: Solve for x
    x = 5,567,575,437.04/49,329
  6. Step 6: Final answer
    x = 112,866.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.