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Finding the Third Proportional to 46,350 and 69,537

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Solution

The third proportional to 46,350 and 69,537 is: 104,323.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,350 : 69,537 = 69,537 : x
  2. Step 2: Convert to fraction form
    46,350/69,537 = 69,537/x
  3. Step 3: Cross multiply
    46,350x = 69,537 × 69,537
  4. Step 4: Simplify right side
    46,350x = 4,835,394,369
  5. Step 5: Solve for x
    x = 4,835,394,369/46,350
  6. Step 6: Final answer
    x = 104,323.50

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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.