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Finding the Third Proportional to 25,794 and 56,528

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Solution

The third proportional to 25,794 and 56,528 is: 123,882.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,794 : 56,528 = 56,528 : x
  2. Step 2: Convert to fraction form
    25,794/56,528 = 56,528/x
  3. Step 3: Cross multiply
    25,794x = 56,528 × 56,528
  4. Step 4: Simplify right side
    25,794x = 3,195,414,784
  5. Step 5: Solve for x
    x = 3,195,414,784/25,794
  6. Step 6: Final answer
    x = 123,882.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.