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Finding the Third Proportional to 24,971 and 53,614

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Solution

The third proportional to 24,971 and 53,614 is: 115,111.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,971 : 53,614 = 53,614 : x
  2. Step 2: Convert to fraction form
    24,971/53,614 = 53,614/x
  3. Step 3: Cross multiply
    24,971x = 53,614 × 53,614
  4. Step 4: Simplify right side
    24,971x = 2,874,460,996
  5. Step 5: Solve for x
    x = 2,874,460,996/24,971
  6. Step 6: Final answer
    x = 115,111.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.