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Finding the Third Proportional to 14,778 and 32,836.50

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Solution

The third proportional to 14,778 and 32,836.50 is: 72,962.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,778 : 32,836.50 = 32,836.50 : x
  2. Step 2: Convert to fraction form
    14,778/32,836.50 = 32,836.50/x
  3. Step 3: Cross multiply
    14,778x = 32,836.50 × 32,836.50
  4. Step 4: Simplify right side
    14,778x = 1,078,235,732.25
  5. Step 5: Solve for x
    x = 1,078,235,732.25/14,778
  6. Step 6: Final answer
    x = 72,962.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.