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Finding the Third Proportional to 25,749.56 and 36,752.06

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Solution

The third proportional to 25,749.56 and 36,752.06 is: 52,455.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,749.56 : 36,752.06 = 36,752.06 : x
  2. Step 2: Convert to fraction form
    25,749.56/36,752.06 = 36,752.06/x
  3. Step 3: Cross multiply
    25,749.56x = 36,752.06 × 36,752.06
  4. Step 4: Simplify right side
    25,749.56x = 1,350,714,098.00
  5. Step 5: Solve for x
    x = 1,350,714,098.00/25,749.56
  6. Step 6: Final answer
    x = 52,455.81

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.