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Finding the Third Proportional to 3,547 and 5,369.81

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Solution

The third proportional to 3,547 and 5,369.81 is: 8,129.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547 : 5,369.81 = 5,369.81 : x
  2. Step 2: Convert to fraction form
    3,547/5,369.81 = 5,369.81/x
  3. Step 3: Cross multiply
    3,547x = 5,369.81 × 5,369.81
  4. Step 4: Simplify right side
    3,547x = 28,834,886.29
  5. Step 5: Solve for x
    x = 28,834,886.29/3,547
  6. Step 6: Final answer
    x = 8,129.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.