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Finding the Third Proportional to 46,747.13 and 59,800.78

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Solution

The third proportional to 46,747.13 and 59,800.78 is: 76,499.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,747.13 : 59,800.78 = 59,800.78 : x
  2. Step 2: Convert to fraction form
    46,747.13/59,800.78 = 59,800.78/x
  3. Step 3: Cross multiply
    46,747.13x = 59,800.78 × 59,800.78
  4. Step 4: Simplify right side
    46,747.13x = 3,576,133,438.11
  5. Step 5: Solve for x
    x = 3,576,133,438.11/46,747.13
  6. Step 6: Final answer
    x = 76,499.54

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.