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Finding the Third Proportional to 8,499.56 and 13,145.81

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Solution

The third proportional to 8,499.56 and 13,145.81 is: 20,331.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,499.56 : 13,145.81 = 13,145.81 : x
  2. Step 2: Convert to fraction form
    8,499.56/13,145.81 = 13,145.81/x
  3. Step 3: Cross multiply
    8,499.56x = 13,145.81 × 13,145.81
  4. Step 4: Simplify right side
    8,499.56x = 172,812,386.29
  5. Step 5: Solve for x
    x = 172,812,386.29/8,499.56
  6. Step 6: Final answer
    x = 20,331.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.