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Finding the Third Proportional to 29,021.63 and 63,509.91

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Solution

The third proportional to 29,021.63 and 63,509.91 is: 138,982.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,021.63 : 63,509.91 = 63,509.91 : x
  2. Step 2: Convert to fraction form
    29,021.63/63,509.91 = 63,509.91/x
  3. Step 3: Cross multiply
    29,021.63x = 63,509.91 × 63,509.91
  4. Step 4: Simplify right side
    29,021.63x = 4,033,508,191.88
  5. Step 5: Solve for x
    x = 4,033,508,191.88/29,021.63
  6. Step 6: Final answer
    x = 138,982.85

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.