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Finding the Third Proportional to 46,028 and 67,531

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Solution

The third proportional to 46,028 and 67,531 is: 99,079.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,028 : 67,531 = 67,531 : x
  2. Step 2: Convert to fraction form
    46,028/67,531 = 67,531/x
  3. Step 3: Cross multiply
    46,028x = 67,531 × 67,531
  4. Step 4: Simplify right side
    46,028x = 4,560,435,961
  5. Step 5: Solve for x
    x = 4,560,435,961/46,028
  6. Step 6: Final answer
    x = 99,079.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.