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Finding the Third Proportional to 5,655.66 and 8,313.47

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Solution

The third proportional to 5,655.66 and 8,313.47 is: 12,220.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.66 : 8,313.47 = 8,313.47 : x
  2. Step 2: Convert to fraction form
    5,655.66/8,313.47 = 8,313.47/x
  3. Step 3: Cross multiply
    5,655.66x = 8,313.47 × 8,313.47
  4. Step 4: Simplify right side
    5,655.66x = 69,113,762.66
  5. Step 5: Solve for x
    x = 69,113,762.66/5,655.66
  6. Step 6: Final answer
    x = 12,220.29

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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.