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Finding the Third Proportional to 24,566 and 53,629

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Solution

The third proportional to 24,566 and 53,629 is: 117,075.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,566 : 53,629 = 53,629 : x
  2. Step 2: Convert to fraction form
    24,566/53,629 = 53,629/x
  3. Step 3: Cross multiply
    24,566x = 53,629 × 53,629
  4. Step 4: Simplify right side
    24,566x = 2,876,069,641
  5. Step 5: Solve for x
    x = 2,876,069,641/24,566
  6. Step 6: Final answer
    x = 117,075.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.