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Finding the Third Proportional to 1,802.81 and 2,624.91

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Solution

The third proportional to 1,802.81 and 2,624.91 is: 3,821.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.81 : 2,624.91 = 2,624.91 : x
  2. Step 2: Convert to fraction form
    1,802.81/2,624.91 = 2,624.91/x
  3. Step 3: Cross multiply
    1,802.81x = 2,624.91 × 2,624.91
  4. Step 4: Simplify right side
    1,802.81x = 6,890,132.82
  5. Step 5: Solve for x
    x = 6,890,132.82/1,802.81
  6. Step 6: Final answer
    x = 3,821.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.