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Finding the Third Proportional to 1,247 and 2,666.50

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Solution

The third proportional to 1,247 and 2,666.50 is: 5,701.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247 : 2,666.50 = 2,666.50 : x
  2. Step 2: Convert to fraction form
    1,247/2,666.50 = 2,666.50/x
  3. Step 3: Cross multiply
    1,247x = 2,666.50 × 2,666.50
  4. Step 4: Simplify right side
    1,247x = 7,110,222.25
  5. Step 5: Solve for x
    x = 7,110,222.25/1,247
  6. Step 6: Final answer
    x = 5,701.86

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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.