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Finding the Third Proportional to 32,778 and 71,860.50

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Solution

The third proportional to 32,778 and 71,860.50 is: 157,542.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,778 : 71,860.50 = 71,860.50 : x
  2. Step 2: Convert to fraction form
    32,778/71,860.50 = 71,860.50/x
  3. Step 3: Cross multiply
    32,778x = 71,860.50 × 71,860.50
  4. Step 4: Simplify right side
    32,778x = 5,163,931,460.25
  5. Step 5: Solve for x
    x = 5,163,931,460.25/32,778
  6. Step 6: Final answer
    x = 157,542.60

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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.