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Finding the Third Proportional to 16,185.19 and 35,312.44

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Solution

The third proportional to 16,185.19 and 35,312.44 is: 77,043.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,185.19 : 35,312.44 = 35,312.44 : x
  2. Step 2: Convert to fraction form
    16,185.19/35,312.44 = 35,312.44/x
  3. Step 3: Cross multiply
    16,185.19x = 35,312.44 × 35,312.44
  4. Step 4: Simplify right side
    16,185.19x = 1,246,968,242.19
  5. Step 5: Solve for x
    x = 1,246,968,242.19/16,185.19
  6. Step 6: Final answer
    x = 77,043.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.