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Finding the Third Proportional to 16,584 and 23,985

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Solution

The third proportional to 16,584 and 23,985 is: 34,688.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,584 : 23,985 = 23,985 : x
  2. Step 2: Convert to fraction form
    16,584/23,985 = 23,985/x
  3. Step 3: Cross multiply
    16,584x = 23,985 × 23,985
  4. Step 4: Simplify right side
    16,584x = 575,280,225
  5. Step 5: Solve for x
    x = 575,280,225/16,584
  6. Step 6: Final answer
    x = 34,688.87

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.