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Finding the Third Proportional to 12,652.14 and 25,720.03

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Solution

The third proportional to 12,652.14 and 25,720.03 is: 52,285.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,652.14 : 25,720.03 = 25,720.03 : x
  2. Step 2: Convert to fraction form
    12,652.14/25,720.03 = 25,720.03/x
  3. Step 3: Cross multiply
    12,652.14x = 25,720.03 × 25,720.03
  4. Step 4: Simplify right side
    12,652.14x = 661,520,007.50
  5. Step 5: Solve for x
    x = 661,520,007.50/12,652.14
  6. Step 6: Final answer
    x = 52,285.24

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.