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Finding the Third Proportional to 21,280.50 and 32,217

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Solution

The third proportional to 21,280.50 and 32,217 is: 48,774.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,280.50 : 32,217 = 32,217 : x
  2. Step 2: Convert to fraction form
    21,280.50/32,217 = 32,217/x
  3. Step 3: Cross multiply
    21,280.50x = 32,217 × 32,217
  4. Step 4: Simplify right side
    21,280.50x = 1,037,935,089
  5. Step 5: Solve for x
    x = 1,037,935,089/21,280.50
  6. Step 6: Final answer
    x = 48,774.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.