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Finding the Third Proportional to 38,943 and 64,413

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Solution

The third proportional to 38,943 and 64,413 is: 106,541.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,943 : 64,413 = 64,413 : x
  2. Step 2: Convert to fraction form
    38,943/64,413 = 64,413/x
  3. Step 3: Cross multiply
    38,943x = 64,413 × 64,413
  4. Step 4: Simplify right side
    38,943x = 4,149,034,569
  5. Step 5: Solve for x
    x = 4,149,034,569/38,943
  6. Step 6: Final answer
    x = 106,541.22

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.