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Finding the Third Proportional to 13,477.22 and 29,284.88

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Solution

The third proportional to 13,477.22 and 29,284.88 is: 63,633.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,477.22 : 29,284.88 = 29,284.88 : x
  2. Step 2: Convert to fraction form
    13,477.22/29,284.88 = 29,284.88/x
  3. Step 3: Cross multiply
    13,477.22x = 29,284.88 × 29,284.88
  4. Step 4: Simplify right side
    13,477.22x = 857,603,903.77
  5. Step 5: Solve for x
    x = 857,603,903.77/13,477.22
  6. Step 6: Final answer
    x = 63,633.60

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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.