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Finding the Third Proportional to 32,429.25 and 50,024.25

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Solution

The third proportional to 32,429.25 and 50,024.25 is: 77,165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,429.25 : 50,024.25 = 50,024.25 : x
  2. Step 2: Convert to fraction form
    32,429.25/50,024.25 = 50,024.25/x
  3. Step 3: Cross multiply
    32,429.25x = 50,024.25 × 50,024.25
  4. Step 4: Simplify right side
    32,429.25x = 2,502,425,588.06
  5. Step 5: Solve for x
    x = 2,502,425,588.06/32,429.25
  6. Step 6: Final answer
    x = 77,165.69

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.