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Finding the Third Proportional to 6,502.78 and 14,037.05

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Solution

The third proportional to 6,502.78 and 14,037.05 is: 30,300.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.78 : 14,037.05 = 14,037.05 : x
  2. Step 2: Convert to fraction form
    6,502.78/14,037.05 = 14,037.05/x
  3. Step 3: Cross multiply
    6,502.78x = 14,037.05 × 14,037.05
  4. Step 4: Simplify right side
    6,502.78x = 197,038,684.97
  5. Step 5: Solve for x
    x = 197,038,684.97/6,502.78
  6. Step 6: Final answer
    x = 30,300.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.