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Finding the Third Proportional to 46,537.03 and 69,622.03

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Solution

The third proportional to 46,537.03 and 69,622.03 is: 104,158.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,537.03 : 69,622.03 = 69,622.03 : x
  2. Step 2: Convert to fraction form
    46,537.03/69,622.03 = 69,622.03/x
  3. Step 3: Cross multiply
    46,537.03x = 69,622.03 × 69,622.03
  4. Step 4: Simplify right side
    46,537.03x = 4,847,227,235.38
  5. Step 5: Solve for x
    x = 4,847,227,235.38/46,537.03
  6. Step 6: Final answer
    x = 104,158.50

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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.