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Finding the Third Proportional to 46,815 and 74,443.50

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Solution

The third proportional to 46,815 and 74,443.50 is: 118,377.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,815 : 74,443.50 = 74,443.50 : x
  2. Step 2: Convert to fraction form
    46,815/74,443.50 = 74,443.50/x
  3. Step 3: Cross multiply
    46,815x = 74,443.50 × 74,443.50
  4. Step 4: Simplify right side
    46,815x = 5,541,834,692.25
  5. Step 5: Solve for x
    x = 5,541,834,692.25/46,815
  6. Step 6: Final answer
    x = 118,377.33

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.