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Finding the Third Proportional to 1,254 and 3,256.50

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Solution

The third proportional to 1,254 and 3,256.50 is: 8,456.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254 : 3,256.50 = 3,256.50 : x
  2. Step 2: Convert to fraction form
    1,254/3,256.50 = 3,256.50/x
  3. Step 3: Cross multiply
    1,254x = 3,256.50 × 3,256.50
  4. Step 4: Simplify right side
    1,254x = 10,604,792.25
  5. Step 5: Solve for x
    x = 10,604,792.25/1,254
  6. Step 6: Final answer
    x = 8,456.77

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.