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Finding the Third Proportional to 46,353 and 69,531

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Solution

The third proportional to 46,353 and 69,531 is: 104,298.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,353 : 69,531 = 69,531 : x
  2. Step 2: Convert to fraction form
    46,353/69,531 = 69,531/x
  3. Step 3: Cross multiply
    46,353x = 69,531 × 69,531
  4. Step 4: Simplify right side
    46,353x = 4,834,559,961
  5. Step 5: Solve for x
    x = 4,834,559,961/46,353
  6. Step 6: Final answer
    x = 104,298.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.