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Finding the Third Proportional to 1,870.91 and 3,869.96

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Solution

The third proportional to 1,870.91 and 3,869.96 is: 8,005.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.91 : 3,869.96 = 3,869.96 : x
  2. Step 2: Convert to fraction form
    1,870.91/3,869.96 = 3,869.96/x
  3. Step 3: Cross multiply
    1,870.91x = 3,869.96 × 3,869.96
  4. Step 4: Simplify right side
    1,870.91x = 14,976,627.89
  5. Step 5: Solve for x
    x = 14,976,627.89/1,870.91
  6. Step 6: Final answer
    x = 8,005.00

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.