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Finding the Third Proportional to 13,767.47 and 29,533.36

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Solution

The third proportional to 13,767.47 and 29,533.36 is: 63,353.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,767.47 : 29,533.36 = 29,533.36 : x
  2. Step 2: Convert to fraction form
    13,767.47/29,533.36 = 29,533.36/x
  3. Step 3: Cross multiply
    13,767.47x = 29,533.36 × 29,533.36
  4. Step 4: Simplify right side
    13,767.47x = 872,219,315.97
  5. Step 5: Solve for x
    x = 872,219,315.97/13,767.47
  6. Step 6: Final answer
    x = 63,353.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.