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Finding the Third Proportional to 24,570 and 53,738

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Solution

The third proportional to 24,570 and 53,738 is: 117,532.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,570 : 53,738 = 53,738 : x
  2. Step 2: Convert to fraction form
    24,570/53,738 = 53,738/x
  3. Step 3: Cross multiply
    24,570x = 53,738 × 53,738
  4. Step 4: Simplify right side
    24,570x = 2,887,772,644
  5. Step 5: Solve for x
    x = 2,887,772,644/24,570
  6. Step 6: Final answer
    x = 117,532.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.