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Finding the Third Proportional to 42,913.50 and 65,647.13

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Solution

The third proportional to 42,913.50 and 65,647.13 is: 100,423.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,913.50 : 65,647.13 = 65,647.13 : x
  2. Step 2: Convert to fraction form
    42,913.50/65,647.13 = 65,647.13/x
  3. Step 3: Cross multiply
    42,913.50x = 65,647.13 × 65,647.13
  4. Step 4: Simplify right side
    42,913.50x = 4,309,545,020.77
  5. Step 5: Solve for x
    x = 4,309,545,020.77/42,913.50
  6. Step 6: Final answer
    x = 100,423.99

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.