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Finding the Third Proportional to 46,261.13 and 69,229.69

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Solution

The third proportional to 46,261.13 and 69,229.69 is: 103,602.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,261.13 : 69,229.69 = 69,229.69 : x
  2. Step 2: Convert to fraction form
    46,261.13/69,229.69 = 69,229.69/x
  3. Step 3: Cross multiply
    46,261.13x = 69,229.69 × 69,229.69
  4. Step 4: Simplify right side
    46,261.13x = 4,792,749,631.35
  5. Step 5: Solve for x
    x = 4,792,749,631.35/46,261.13
  6. Step 6: Final answer
    x = 103,602.10

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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.