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Finding the Third Proportional to 16,302 and 23,989.50

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Solution

The third proportional to 16,302 and 23,989.50 is: 35,302.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302 : 23,989.50 = 23,989.50 : x
  2. Step 2: Convert to fraction form
    16,302/23,989.50 = 23,989.50/x
  3. Step 3: Cross multiply
    16,302x = 23,989.50 × 23,989.50
  4. Step 4: Simplify right side
    16,302x = 575,496,110.25
  5. Step 5: Solve for x
    x = 575,496,110.25/16,302
  6. Step 6: Final answer
    x = 35,302.18

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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.