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Finding the Third Proportional to 6,502.78 and 14,582.53

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Solution

The third proportional to 6,502.78 and 14,582.53 is: 32,701.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.78 : 14,582.53 = 14,582.53 : x
  2. Step 2: Convert to fraction form
    6,502.78/14,582.53 = 14,582.53/x
  3. Step 3: Cross multiply
    6,502.78x = 14,582.53 × 14,582.53
  4. Step 4: Simplify right side
    6,502.78x = 212,650,217.66
  5. Step 5: Solve for x
    x = 212,650,217.66/6,502.78
  6. Step 6: Final answer
    x = 32,701.43

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.