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Finding the Third Proportional to 1,630.13 and 2,459.11

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Solution

The third proportional to 1,630.13 and 2,459.11 is: 3,709.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.13 : 2,459.11 = 2,459.11 : x
  2. Step 2: Convert to fraction form
    1,630.13/2,459.11 = 2,459.11/x
  3. Step 3: Cross multiply
    1,630.13x = 2,459.11 × 2,459.11
  4. Step 4: Simplify right side
    1,630.13x = 6,047,218.92
  5. Step 5: Solve for x
    x = 6,047,218.92/1,630.13
  6. Step 6: Final answer
    x = 3,709.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.