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Finding the Third Proportional to 27,319 and 42,051

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Solution

The third proportional to 27,319 and 42,051 is: 64,727.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,319 : 42,051 = 42,051 : x
  2. Step 2: Convert to fraction form
    27,319/42,051 = 42,051/x
  3. Step 3: Cross multiply
    27,319x = 42,051 × 42,051
  4. Step 4: Simplify right side
    27,319x = 1,768,286,601
  5. Step 5: Solve for x
    x = 1,768,286,601/27,319
  6. Step 6: Final answer
    x = 64,727.35

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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.