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Finding the Third Proportional to 46,616 and 70,928

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Solution

The third proportional to 46,616 and 70,928 is: 107,919.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,616 : 70,928 = 70,928 : x
  2. Step 2: Convert to fraction form
    46,616/70,928 = 70,928/x
  3. Step 3: Cross multiply
    46,616x = 70,928 × 70,928
  4. Step 4: Simplify right side
    46,616x = 5,030,781,184
  5. Step 5: Solve for x
    x = 5,030,781,184/46,616
  6. Step 6: Final answer
    x = 107,919.62

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.