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Finding the Third Proportional to 2,256.61 and 2,666.67

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Solution

The third proportional to 2,256.61 and 2,666.67 is: 3,151.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.61 : 2,666.67 = 2,666.67 : x
  2. Step 2: Convert to fraction form
    2,256.61/2,666.67 = 2,666.67/x
  3. Step 3: Cross multiply
    2,256.61x = 2,666.67 × 2,666.67
  4. Step 4: Simplify right side
    2,256.61x = 7,111,138.89
  5. Step 5: Solve for x
    x = 7,111,138.89/2,256.61
  6. Step 6: Final answer
    x = 3,151.25

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.