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Finding the Third Proportional to 1,495.45 and 3,492.84

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Solution

The third proportional to 1,495.45 and 3,492.84 is: 8,158.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.45 : 3,492.84 = 3,492.84 : x
  2. Step 2: Convert to fraction form
    1,495.45/3,492.84 = 3,492.84/x
  3. Step 3: Cross multiply
    1,495.45x = 3,492.84 × 3,492.84
  4. Step 4: Simplify right side
    1,495.45x = 12,199,957.46
  5. Step 5: Solve for x
    x = 12,199,957.46/1,495.45
  6. Step 6: Final answer
    x = 8,158.03

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.