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Finding the Third Proportional to 25,008.25 and 38,345.25

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Solution

The third proportional to 25,008.25 and 38,345.25 is: 58,794.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,008.25 : 38,345.25 = 38,345.25 : x
  2. Step 2: Convert to fraction form
    25,008.25/38,345.25 = 38,345.25/x
  3. Step 3: Cross multiply
    25,008.25x = 38,345.25 × 38,345.25
  4. Step 4: Simplify right side
    25,008.25x = 1,470,358,197.56
  5. Step 5: Solve for x
    x = 1,470,358,197.56/25,008.25
  6. Step 6: Final answer
    x = 58,794.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.