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Finding the Third Proportional to 46,968 and 64,404

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Solution

The third proportional to 46,968 and 64,404 is: 88,312.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,968 : 64,404 = 64,404 : x
  2. Step 2: Convert to fraction form
    46,968/64,404 = 64,404/x
  3. Step 3: Cross multiply
    46,968x = 64,404 × 64,404
  4. Step 4: Simplify right side
    46,968x = 4,147,875,216
  5. Step 5: Solve for x
    x = 4,147,875,216/46,968
  6. Step 6: Final answer
    x = 88,312.79

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.