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Finding the Third Proportional to 21,246 and 32,784

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Solution

The third proportional to 21,246 and 32,784 is: 50,587.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,246 : 32,784 = 32,784 : x
  2. Step 2: Convert to fraction form
    21,246/32,784 = 32,784/x
  3. Step 3: Cross multiply
    21,246x = 32,784 × 32,784
  4. Step 4: Simplify right side
    21,246x = 1,074,790,656
  5. Step 5: Solve for x
    x = 1,074,790,656/21,246
  6. Step 6: Final answer
    x = 50,587.91

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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.