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Finding the Third Proportional to 13,508.65 and 29,353.32

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Solution

The third proportional to 13,508.65 and 29,353.32 is: 63,782.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,508.65 : 29,353.32 = 29,353.32 : x
  2. Step 2: Convert to fraction form
    13,508.65/29,353.32 = 29,353.32/x
  3. Step 3: Cross multiply
    13,508.65x = 29,353.32 × 29,353.32
  4. Step 4: Simplify right side
    13,508.65x = 861,617,642.69
  5. Step 5: Solve for x
    x = 861,617,642.69/13,508.65
  6. Step 6: Final answer
    x = 63,782.67

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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.