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Finding the Third Proportional to 35,009.25 and 53,811.75

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Solution

The third proportional to 35,009.25 and 53,811.75 is: 82,712.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,009.25 : 53,811.75 = 53,811.75 : x
  2. Step 2: Convert to fraction form
    35,009.25/53,811.75 = 53,811.75/x
  3. Step 3: Cross multiply
    35,009.25x = 53,811.75 × 53,811.75
  4. Step 4: Simplify right side
    35,009.25x = 2,895,704,438.06
  5. Step 5: Solve for x
    x = 2,895,704,438.06/35,009.25
  6. Step 6: Final answer
    x = 82,712.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.