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Finding the Third Proportional to 46,737 and 65,579.63

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Solution

The third proportional to 46,737 and 65,579.63 is: 92,018.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,737 : 65,579.63 = 65,579.63 : x
  2. Step 2: Convert to fraction form
    46,737/65,579.63 = 65,579.63/x
  3. Step 3: Cross multiply
    46,737x = 65,579.63 × 65,579.63
  4. Step 4: Simplify right side
    46,737x = 4,300,687,215.14
  5. Step 5: Solve for x
    x = 4,300,687,215.14/46,737
  6. Step 6: Final answer
    x = 92,018.90

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.