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Finding the Third Proportional to 46,466 and 67,971

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Solution

The third proportional to 46,466 and 67,971 is: 99,428.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,466 : 67,971 = 67,971 : x
  2. Step 2: Convert to fraction form
    46,466/67,971 = 67,971/x
  3. Step 3: Cross multiply
    46,466x = 67,971 × 67,971
  4. Step 4: Simplify right side
    46,466x = 4,620,056,841
  5. Step 5: Solve for x
    x = 4,620,056,841/46,466
  6. Step 6: Final answer
    x = 99,428.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.