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Finding the Third Proportional to 46,373.50 and 65,510

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Solution

The third proportional to 46,373.50 and 65,510 is: 92,543.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,373.50 : 65,510 = 65,510 : x
  2. Step 2: Convert to fraction form
    46,373.50/65,510 = 65,510/x
  3. Step 3: Cross multiply
    46,373.50x = 65,510 × 65,510
  4. Step 4: Simplify right side
    46,373.50x = 4,291,560,100
  5. Step 5: Solve for x
    x = 4,291,560,100/46,373.50
  6. Step 6: Final answer
    x = 92,543.37

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.