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Finding the Third Proportional to 53,637.19 and 75,023.72

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Solution

The third proportional to 53,637.19 and 75,023.72 is: 104,937.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,637.19 : 75,023.72 = 75,023.72 : x
  2. Step 2: Convert to fraction form
    53,637.19/75,023.72 = 75,023.72/x
  3. Step 3: Cross multiply
    53,637.19x = 75,023.72 × 75,023.72
  4. Step 4: Simplify right side
    53,637.19x = 5,628,558,375.08
  5. Step 5: Solve for x
    x = 5,628,558,375.08/53,637.19
  6. Step 6: Final answer
    x = 104,937.61

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.