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Finding the Third Proportional to 29,123.06 and 63,698.25

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Solution

The third proportional to 29,123.06 and 63,698.25 is: 139,321.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,123.06 : 63,698.25 = 63,698.25 : x
  2. Step 2: Convert to fraction form
    29,123.06/63,698.25 = 63,698.25/x
  3. Step 3: Cross multiply
    29,123.06x = 63,698.25 × 63,698.25
  4. Step 4: Simplify right side
    29,123.06x = 4,057,467,053.06
  5. Step 5: Solve for x
    x = 4,057,467,053.06/29,123.06
  6. Step 6: Final answer
    x = 139,321.44

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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.