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Finding the Third Proportional to 3,501.79 and 7,586.93

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Solution

The third proportional to 3,501.79 and 7,586.93 is: 16,437.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501.79 : 7,586.93 = 7,586.93 : x
  2. Step 2: Convert to fraction form
    3,501.79/7,586.93 = 7,586.93/x
  3. Step 3: Cross multiply
    3,501.79x = 7,586.93 × 7,586.93
  4. Step 4: Simplify right side
    3,501.79x = 57,561,502.08
  5. Step 5: Solve for x
    x = 57,561,502.08/3,501.79
  6. Step 6: Final answer
    x = 16,437.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.