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Finding the Third Proportional to 16,302.75 and 35,730.75

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Solution

The third proportional to 16,302.75 and 35,730.75 is: 78,311.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302.75 : 35,730.75 = 35,730.75 : x
  2. Step 2: Convert to fraction form
    16,302.75/35,730.75 = 35,730.75/x
  3. Step 3: Cross multiply
    16,302.75x = 35,730.75 × 35,730.75
  4. Step 4: Simplify right side
    16,302.75x = 1,276,686,495.56
  5. Step 5: Solve for x
    x = 1,276,686,495.56/16,302.75
  6. Step 6: Final answer
    x = 78,311.11

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Why These Related Problems?

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