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Finding the Third Proportional to 25,066 and 53,468

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Solution

The third proportional to 25,066 and 53,468 is: 114,051.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,066 : 53,468 = 53,468 : x
  2. Step 2: Convert to fraction form
    25,066/53,468 = 53,468/x
  3. Step 3: Cross multiply
    25,066x = 53,468 × 53,468
  4. Step 4: Simplify right side
    25,066x = 2,858,827,024
  5. Step 5: Solve for x
    x = 2,858,827,024/25,066
  6. Step 6: Final answer
    x = 114,051.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.