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Finding the Third Proportional to 46,958 and 60,960

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Solution

The third proportional to 46,958 and 60,960 is: 79,137.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,958 : 60,960 = 60,960 : x
  2. Step 2: Convert to fraction form
    46,958/60,960 = 60,960/x
  3. Step 3: Cross multiply
    46,958x = 60,960 × 60,960
  4. Step 4: Simplify right side
    46,958x = 3,716,121,600
  5. Step 5: Solve for x
    x = 3,716,121,600/46,958
  6. Step 6: Final answer
    x = 79,137.14

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.