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Finding the Third Proportional to 24,786 and 53,541

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Solution

The third proportional to 24,786 and 53,541 is: 115,655.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,786 : 53,541 = 53,541 : x
  2. Step 2: Convert to fraction form
    24,786/53,541 = 53,541/x
  3. Step 3: Cross multiply
    24,786x = 53,541 × 53,541
  4. Step 4: Simplify right side
    24,786x = 2,866,638,681
  5. Step 5: Solve for x
    x = 2,866,638,681/24,786
  6. Step 6: Final answer
    x = 115,655.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.