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Finding the Third Proportional to 46,039 and 65,737

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Solution

The third proportional to 46,039 and 65,737 is: 93,862.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,039 : 65,737 = 65,737 : x
  2. Step 2: Convert to fraction form
    46,039/65,737 = 65,737/x
  3. Step 3: Cross multiply
    46,039x = 65,737 × 65,737
  4. Step 4: Simplify right side
    46,039x = 4,321,353,169
  5. Step 5: Solve for x
    x = 4,321,353,169/46,039
  6. Step 6: Final answer
    x = 93,862.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.