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Finding the Third Proportional to 25,011 and 36,076

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Solution

The third proportional to 25,011 and 36,076 is: 52,036.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,011 : 36,076 = 36,076 : x
  2. Step 2: Convert to fraction form
    25,011/36,076 = 36,076/x
  3. Step 3: Cross multiply
    25,011x = 36,076 × 36,076
  4. Step 4: Simplify right side
    25,011x = 1,301,477,776
  5. Step 5: Solve for x
    x = 1,301,477,776/25,011
  6. Step 6: Final answer
    x = 52,036.22

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.