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Finding the Third Proportional to 25,947 and 56,430

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Solution

The third proportional to 25,947 and 56,430 is: 122,724.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,947 : 56,430 = 56,430 : x
  2. Step 2: Convert to fraction form
    25,947/56,430 = 56,430/x
  3. Step 3: Cross multiply
    25,947x = 56,430 × 56,430
  4. Step 4: Simplify right side
    25,947x = 3,184,344,900
  5. Step 5: Solve for x
    x = 3,184,344,900/25,947
  6. Step 6: Final answer
    x = 122,724.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.