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Finding the Third Proportional to 34,503.47 and 52,272.84

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Solution

The third proportional to 34,503.47 and 52,272.84 is: 79,193.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,503.47 : 52,272.84 = 52,272.84 : x
  2. Step 2: Convert to fraction form
    34,503.47/52,272.84 = 52,272.84/x
  3. Step 3: Cross multiply
    34,503.47x = 52,272.84 × 52,272.84
  4. Step 4: Simplify right side
    34,503.47x = 2,732,450,193.71
  5. Step 5: Solve for x
    x = 2,732,450,193.71/34,503.47
  6. Step 6: Final answer
    x = 79,193.49

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.