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Finding the Third Proportional to 27,958 and 40,784

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Solution

The third proportional to 27,958 and 40,784 is: 59,494.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,958 : 40,784 = 40,784 : x
  2. Step 2: Convert to fraction form
    27,958/40,784 = 40,784/x
  3. Step 3: Cross multiply
    27,958x = 40,784 × 40,784
  4. Step 4: Simplify right side
    27,958x = 1,663,334,656
  5. Step 5: Solve for x
    x = 1,663,334,656/27,958
  6. Step 6: Final answer
    x = 59,494.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.