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Finding the Third Proportional to 6,495.19 and 9,288.56

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Solution

The third proportional to 6,495.19 and 9,288.56 is: 13,283.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.19 : 9,288.56 = 9,288.56 : x
  2. Step 2: Convert to fraction form
    6,495.19/9,288.56 = 9,288.56/x
  3. Step 3: Cross multiply
    6,495.19x = 9,288.56 × 9,288.56
  4. Step 4: Simplify right side
    6,495.19x = 86,277,393.32
  5. Step 5: Solve for x
    x = 86,277,393.32/6,495.19
  6. Step 6: Final answer
    x = 13,283.28

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.