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Finding the Third Proportional to 46,012 and 64,778

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Solution

The third proportional to 46,012 and 64,778 is: 91,197.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,012 : 64,778 = 64,778 : x
  2. Step 2: Convert to fraction form
    46,012/64,778 = 64,778/x
  3. Step 3: Cross multiply
    46,012x = 64,778 × 64,778
  4. Step 4: Simplify right side
    46,012x = 4,196,189,284
  5. Step 5: Solve for x
    x = 4,196,189,284/46,012
  6. Step 6: Final answer
    x = 91,197.72

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.