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Finding the Third Proportional to 32,699 and 50,723

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Solution

The third proportional to 32,699 and 50,723 is: 78,682.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,699 : 50,723 = 50,723 : x
  2. Step 2: Convert to fraction form
    32,699/50,723 = 50,723/x
  3. Step 3: Cross multiply
    32,699x = 50,723 × 50,723
  4. Step 4: Simplify right side
    32,699x = 2,572,822,729
  5. Step 5: Solve for x
    x = 2,572,822,729/32,699
  6. Step 6: Final answer
    x = 78,682.00

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.