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Finding the Third Proportional to 7,346.95 and 10,496.46

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Solution

The third proportional to 7,346.95 and 10,496.46 is: 14,996.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,346.95 : 10,496.46 = 10,496.46 : x
  2. Step 2: Convert to fraction form
    7,346.95/10,496.46 = 10,496.46/x
  3. Step 3: Cross multiply
    7,346.95x = 10,496.46 × 10,496.46
  4. Step 4: Simplify right side
    7,346.95x = 110,175,692.21
  5. Step 5: Solve for x
    x = 110,175,692.21/7,346.95
  6. Step 6: Final answer
    x = 14,996.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.