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Finding the Third Proportional to 7,492.18 and 17,346.50

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Solution

The third proportional to 7,492.18 and 17,346.50 is: 40,161.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,492.18 : 17,346.50 = 17,346.50 : x
  2. Step 2: Convert to fraction form
    7,492.18/17,346.50 = 17,346.50/x
  3. Step 3: Cross multiply
    7,492.18x = 17,346.50 × 17,346.50
  4. Step 4: Simplify right side
    7,492.18x = 300,900,994.49
  5. Step 5: Solve for x
    x = 300,900,994.49/7,492.18
  6. Step 6: Final answer
    x = 40,161.99

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.