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Finding the Third Proportional to 32,929 and 51,065

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Solution

The third proportional to 32,929 and 51,065 is: 79,189.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,929 : 51,065 = 51,065 : x
  2. Step 2: Convert to fraction form
    32,929/51,065 = 51,065/x
  3. Step 3: Cross multiply
    32,929x = 51,065 × 51,065
  4. Step 4: Simplify right side
    32,929x = 2,607,634,225
  5. Step 5: Solve for x
    x = 2,607,634,225/32,929
  6. Step 6: Final answer
    x = 79,189.60

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.