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Finding the Third Proportional to 32,793 and 50,476.50

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Solution

The third proportional to 32,793 and 50,476.50 is: 77,695.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,793 : 50,476.50 = 50,476.50 : x
  2. Step 2: Convert to fraction form
    32,793/50,476.50 = 50,476.50/x
  3. Step 3: Cross multiply
    32,793x = 50,476.50 × 50,476.50
  4. Step 4: Simplify right side
    32,793x = 2,547,877,052.25
  5. Step 5: Solve for x
    x = 2,547,877,052.25/32,793
  6. Step 6: Final answer
    x = 77,695.76

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.