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Finding the Third Proportional to 931.08 and 1,937.67

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Solution

The third proportional to 931.08 and 1,937.67 is: 4,032.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.08 : 1,937.67 = 1,937.67 : x
  2. Step 2: Convert to fraction form
    931.08/1,937.67 = 1,937.67/x
  3. Step 3: Cross multiply
    931.08x = 1,937.67 × 1,937.67
  4. Step 4: Simplify right side
    931.08x = 3,754,572.30
  5. Step 5: Solve for x
    x = 3,754,572.30/931.08
  6. Step 6: Final answer
    x = 4,032.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.