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Finding the Third Proportional to 41,445 and 64,833.75

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Solution

The third proportional to 41,445 and 64,833.75 is: 101,421.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,445 : 64,833.75 = 64,833.75 : x
  2. Step 2: Convert to fraction form
    41,445/64,833.75 = 64,833.75/x
  3. Step 3: Cross multiply
    41,445x = 64,833.75 × 64,833.75
  4. Step 4: Simplify right side
    41,445x = 4,203,415,139.06
  5. Step 5: Solve for x
    x = 4,203,415,139.06/41,445
  6. Step 6: Final answer
    x = 101,421.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.