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Finding the Third Proportional to 46,917 and 70,780.50

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Solution

The third proportional to 46,917 and 70,780.50 is: 106,781.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,917 : 70,780.50 = 70,780.50 : x
  2. Step 2: Convert to fraction form
    46,917/70,780.50 = 70,780.50/x
  3. Step 3: Cross multiply
    46,917x = 70,780.50 × 70,780.50
  4. Step 4: Simplify right side
    46,917x = 5,009,879,180.25
  5. Step 5: Solve for x
    x = 5,009,879,180.25/46,917
  6. Step 6: Final answer
    x = 106,781.75

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