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Finding the Third Proportional to 25,969 and 56,947

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Solution

The third proportional to 25,969 and 56,947 is: 124,878.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,969 : 56,947 = 56,947 : x
  2. Step 2: Convert to fraction form
    25,969/56,947 = 56,947/x
  3. Step 3: Cross multiply
    25,969x = 56,947 × 56,947
  4. Step 4: Simplify right side
    25,969x = 3,242,960,809
  5. Step 5: Solve for x
    x = 3,242,960,809/25,969
  6. Step 6: Final answer
    x = 124,878.16

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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.