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Finding the Third Proportional to 20,484 and 32,854

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Solution

The third proportional to 20,484 and 32,854 is: 52,694.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,484 : 32,854 = 32,854 : x
  2. Step 2: Convert to fraction form
    20,484/32,854 = 32,854/x
  3. Step 3: Cross multiply
    20,484x = 32,854 × 32,854
  4. Step 4: Simplify right side
    20,484x = 1,079,385,316
  5. Step 5: Solve for x
    x = 1,079,385,316/20,484
  6. Step 6: Final answer
    x = 52,694.07

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.