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Finding the Third Proportional to 25,784 and 56,300

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Solution

The third proportional to 25,784 and 56,300 is: 122,932.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,784 : 56,300 = 56,300 : x
  2. Step 2: Convert to fraction form
    25,784/56,300 = 56,300/x
  3. Step 3: Cross multiply
    25,784x = 56,300 × 56,300
  4. Step 4: Simplify right side
    25,784x = 3,169,690,000
  5. Step 5: Solve for x
    x = 3,169,690,000/25,784
  6. Step 6: Final answer
    x = 122,932.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.