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Finding the Third Proportional to 6,564.09 and 14,403.66

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Solution

The third proportional to 6,564.09 and 14,403.66 is: 31,606.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.09 : 14,403.66 = 14,403.66 : x
  2. Step 2: Convert to fraction form
    6,564.09/14,403.66 = 14,403.66/x
  3. Step 3: Cross multiply
    6,564.09x = 14,403.66 × 14,403.66
  4. Step 4: Simplify right side
    6,564.09x = 207,465,313.37
  5. Step 5: Solve for x
    x = 207,465,313.37/6,564.09
  6. Step 6: Final answer
    x = 31,606.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.