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Finding the Third Proportional to 46,431 and 69,647.25

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Solution

The third proportional to 46,431 and 69,647.25 is: 104,472.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,431 : 69,647.25 = 69,647.25 : x
  2. Step 2: Convert to fraction form
    46,431/69,647.25 = 69,647.25/x
  3. Step 3: Cross multiply
    46,431x = 69,647.25 × 69,647.25
  4. Step 4: Simplify right side
    46,431x = 4,850,739,432.56
  5. Step 5: Solve for x
    x = 4,850,739,432.56/46,431
  6. Step 6: Final answer
    x = 104,472.00

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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.