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Finding the Third Proportional to 25,784 and 34,787

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Solution

The third proportional to 25,784 and 34,787 is: 46,933.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,784 : 34,787 = 34,787 : x
  2. Step 2: Convert to fraction form
    25,784/34,787 = 34,787/x
  3. Step 3: Cross multiply
    25,784x = 34,787 × 34,787
  4. Step 4: Simplify right side
    25,784x = 1,210,135,369
  5. Step 5: Solve for x
    x = 1,210,135,369/25,784
  6. Step 6: Final answer
    x = 46,933.58

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.