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Finding the Third Proportional to 32,583 and 70,998

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Solution

The third proportional to 32,583 and 70,998 is: 154,703.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,583 : 70,998 = 70,998 : x
  2. Step 2: Convert to fraction form
    32,583/70,998 = 70,998/x
  3. Step 3: Cross multiply
    32,583x = 70,998 × 70,998
  4. Step 4: Simplify right side
    32,583x = 5,040,716,004
  5. Step 5: Solve for x
    x = 5,040,716,004/32,583
  6. Step 6: Final answer
    x = 154,703.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.