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Finding the Third Proportional to 6,502.78 and 10,370.53

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Solution

The third proportional to 6,502.78 and 10,370.53 is: 16,538.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.78 : 10,370.53 = 10,370.53 : x
  2. Step 2: Convert to fraction form
    6,502.78/10,370.53 = 10,370.53/x
  3. Step 3: Cross multiply
    6,502.78x = 10,370.53 × 10,370.53
  4. Step 4: Simplify right side
    6,502.78x = 107,547,918.41
  5. Step 5: Solve for x
    x = 107,547,918.41/6,502.78
  6. Step 6: Final answer
    x = 16,538.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.