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Finding the Third Proportional to 24,822 and 58,536

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Solution

The third proportional to 24,822 and 58,536 is: 138,041.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,822 : 58,536 = 58,536 : x
  2. Step 2: Convert to fraction form
    24,822/58,536 = 58,536/x
  3. Step 3: Cross multiply
    24,822x = 58,536 × 58,536
  4. Step 4: Simplify right side
    24,822x = 3,426,463,296
  5. Step 5: Solve for x
    x = 3,426,463,296/24,822
  6. Step 6: Final answer
    x = 138,041.39

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.