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Finding the Third Proportional to 29,628.91 and 64,281.09

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Solution

The third proportional to 29,628.91 and 64,281.09 is: 139,460.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,628.91 : 64,281.09 = 64,281.09 : x
  2. Step 2: Convert to fraction form
    29,628.91/64,281.09 = 64,281.09/x
  3. Step 3: Cross multiply
    29,628.91x = 64,281.09 × 64,281.09
  4. Step 4: Simplify right side
    29,628.91x = 4,132,059,013.70
  5. Step 5: Solve for x
    x = 4,132,059,013.70/29,628.91
  6. Step 6: Final answer
    x = 139,460.36

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.