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Finding the Third Proportional to 6,502.78 and 9,284.63

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Solution

The third proportional to 6,502.78 and 9,284.63 is: 13,256.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.78 : 9,284.63 = 9,284.63 : x
  2. Step 2: Convert to fraction form
    6,502.78/9,284.63 = 9,284.63/x
  3. Step 3: Cross multiply
    6,502.78x = 9,284.63 × 9,284.63
  4. Step 4: Simplify right side
    6,502.78x = 86,204,261.39
  5. Step 5: Solve for x
    x = 86,204,261.39/6,502.78
  6. Step 6: Final answer
    x = 13,256.52

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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.