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Finding the Third Proportional to 16,308 and 35,687.25

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Solution

The third proportional to 16,308 and 35,687.25 is: 78,095.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,308 : 35,687.25 = 35,687.25 : x
  2. Step 2: Convert to fraction form
    16,308/35,687.25 = 35,687.25/x
  3. Step 3: Cross multiply
    16,308x = 35,687.25 × 35,687.25
  4. Step 4: Simplify right side
    16,308x = 1,273,579,812.56
  5. Step 5: Solve for x
    x = 1,273,579,812.56/16,308
  6. Step 6: Final answer
    x = 78,095.40

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.