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Finding the Third Proportional to 27,438 and 64,113

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Solution

The third proportional to 27,438 and 64,113 is: 149,809.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,438 : 64,113 = 64,113 : x
  2. Step 2: Convert to fraction form
    27,438/64,113 = 64,113/x
  3. Step 3: Cross multiply
    27,438x = 64,113 × 64,113
  4. Step 4: Simplify right side
    27,438x = 4,110,476,769
  5. Step 5: Solve for x
    x = 4,110,476,769/27,438
  6. Step 6: Final answer
    x = 149,809.64

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.