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Finding the Third Proportional to 10,266.75 and 12,534.75

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Solution

The third proportional to 10,266.75 and 12,534.75 is: 15,303.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,266.75 : 12,534.75 = 12,534.75 : x
  2. Step 2: Convert to fraction form
    10,266.75/12,534.75 = 12,534.75/x
  3. Step 3: Cross multiply
    10,266.75x = 12,534.75 × 12,534.75
  4. Step 4: Simplify right side
    10,266.75x = 157,119,957.56
  5. Step 5: Solve for x
    x = 157,119,957.56/10,266.75
  6. Step 6: Final answer
    x = 15,303.77

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.