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Finding the Third Proportional to 22,363 and 32,896.50

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Solution

The third proportional to 22,363 and 32,896.50 is: 48,391.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,363 : 32,896.50 = 32,896.50 : x
  2. Step 2: Convert to fraction form
    22,363/32,896.50 = 32,896.50/x
  3. Step 3: Cross multiply
    22,363x = 32,896.50 × 32,896.50
  4. Step 4: Simplify right side
    22,363x = 1,082,179,712.25
  5. Step 5: Solve for x
    x = 1,082,179,712.25/22,363
  6. Step 6: Final answer
    x = 48,391.53

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.