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Finding the Third Proportional to 1,495.34 and 3,492.63

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Solution

The third proportional to 1,495.34 and 3,492.63 is: 8,157.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.34 : 3,492.63 = 3,492.63 : x
  2. Step 2: Convert to fraction form
    1,495.34/3,492.63 = 3,492.63/x
  3. Step 3: Cross multiply
    1,495.34x = 3,492.63 × 3,492.63
  4. Step 4: Simplify right side
    1,495.34x = 12,198,483.96
  5. Step 5: Solve for x
    x = 12,198,483.96/1,495.34
  6. Step 6: Final answer
    x = 8,157.69

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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.