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Finding the Third Proportional to 3,172.50 and 4,902.50

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Solution

The third proportional to 3,172.50 and 4,902.50 is: 7,575.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.50 : 4,902.50 = 4,902.50 : x
  2. Step 2: Convert to fraction form
    3,172.50/4,902.50 = 4,902.50/x
  3. Step 3: Cross multiply
    3,172.50x = 4,902.50 × 4,902.50
  4. Step 4: Simplify right side
    3,172.50x = 24,034,506.25
  5. Step 5: Solve for x
    x = 24,034,506.25/3,172.50
  6. Step 6: Final answer
    x = 7,575.89

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Why These Related Problems?

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