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Finding the Third Proportional to 3,770.65 and 5,547.06

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Solution

The third proportional to 3,770.65 and 5,547.06 is: 8,160.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.65 : 5,547.06 = 5,547.06 : x
  2. Step 2: Convert to fraction form
    3,770.65/5,547.06 = 5,547.06/x
  3. Step 3: Cross multiply
    3,770.65x = 5,547.06 × 5,547.06
  4. Step 4: Simplify right side
    3,770.65x = 30,769,834.67
  5. Step 5: Solve for x
    x = 30,769,834.67/3,770.65
  6. Step 6: Final answer
    x = 8,160.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.