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Finding the Third Proportional to 25,255 and 53,389

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Solution

The third proportional to 25,255 and 53,389 is: 112,864.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,255 : 53,389 = 53,389 : x
  2. Step 2: Convert to fraction form
    25,255/53,389 = 53,389/x
  3. Step 3: Cross multiply
    25,255x = 53,389 × 53,389
  4. Step 4: Simplify right side
    25,255x = 2,850,385,321
  5. Step 5: Solve for x
    x = 2,850,385,321/25,255
  6. Step 6: Final answer
    x = 112,864.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.