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Finding the Third Proportional to 914.10 and 1,952.07

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Solution

The third proportional to 914.10 and 1,952.07 is: 4,168.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.10 : 1,952.07 = 1,952.07 : x
  2. Step 2: Convert to fraction form
    914.10/1,952.07 = 1,952.07/x
  3. Step 3: Cross multiply
    914.10x = 1,952.07 × 1,952.07
  4. Step 4: Simplify right side
    914.10x = 3,810,570.88
  5. Step 5: Solve for x
    x = 3,810,570.88/914.10
  6. Step 6: Final answer
    x = 4,168.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.