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Finding the Third Proportional to 1,870.31 and 4,037.06

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Solution

The third proportional to 1,870.31 and 4,037.06 is: 8,713.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.31 : 4,037.06 = 4,037.06 : x
  2. Step 2: Convert to fraction form
    1,870.31/4,037.06 = 4,037.06/x
  3. Step 3: Cross multiply
    1,870.31x = 4,037.06 × 4,037.06
  4. Step 4: Simplify right side
    1,870.31x = 16,297,873.63
  5. Step 5: Solve for x
    x = 16,297,873.63/1,870.31
  6. Step 6: Final answer
    x = 8,713.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.