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Finding the Third Proportional to 3,654 and 7,492.50

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Solution

The third proportional to 3,654 and 7,492.50 is: 15,363.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654 : 7,492.50 = 7,492.50 : x
  2. Step 2: Convert to fraction form
    3,654/7,492.50 = 7,492.50/x
  3. Step 3: Cross multiply
    3,654x = 7,492.50 × 7,492.50
  4. Step 4: Simplify right side
    3,654x = 56,137,556.25
  5. Step 5: Solve for x
    x = 56,137,556.25/3,654
  6. Step 6: Final answer
    x = 15,363.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.