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Finding the Third Proportional to 24,598 and 53,814

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Solution

The third proportional to 24,598 and 53,814 is: 117,730.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,598 : 53,814 = 53,814 : x
  2. Step 2: Convert to fraction form
    24,598/53,814 = 53,814/x
  3. Step 3: Cross multiply
    24,598x = 53,814 × 53,814
  4. Step 4: Simplify right side
    24,598x = 2,895,946,596
  5. Step 5: Solve for x
    x = 2,895,946,596/24,598
  6. Step 6: Final answer
    x = 117,730.98

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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.