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Finding the Third Proportional to 2,547 and 5,551.31

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Solution

The third proportional to 2,547 and 5,551.31 is: 12,099.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547 : 5,551.31 = 5,551.31 : x
  2. Step 2: Convert to fraction form
    2,547/5,551.31 = 5,551.31/x
  3. Step 3: Cross multiply
    2,547x = 5,551.31 × 5,551.31
  4. Step 4: Simplify right side
    2,547x = 30,817,070.47
  5. Step 5: Solve for x
    x = 30,817,070.47/2,547
  6. Step 6: Final answer
    x = 12,099.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.