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Finding the Third Proportional to 46,092.38 and 69,562.50

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Solution

The third proportional to 46,092.38 and 69,562.50 is: 104,983.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,092.38 : 69,562.50 = 69,562.50 : x
  2. Step 2: Convert to fraction form
    46,092.38/69,562.50 = 69,562.50/x
  3. Step 3: Cross multiply
    46,092.38x = 69,562.50 × 69,562.50
  4. Step 4: Simplify right side
    46,092.38x = 4,838,941,406.25
  5. Step 5: Solve for x
    x = 4,838,941,406.25/46,092.38
  6. Step 6: Final answer
    x = 104,983.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.