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Finding the Third Proportional to 46,275 and 62,707

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Solution

The third proportional to 46,275 and 62,707 is: 84,973.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,275 : 62,707 = 62,707 : x
  2. Step 2: Convert to fraction form
    46,275/62,707 = 62,707/x
  3. Step 3: Cross multiply
    46,275x = 62,707 × 62,707
  4. Step 4: Simplify right side
    46,275x = 3,932,167,849
  5. Step 5: Solve for x
    x = 3,932,167,849/46,275
  6. Step 6: Final answer
    x = 84,973.91

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.