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Finding the Third Proportional to 24,830 and 51,346

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Solution

The third proportional to 24,830 and 51,346 is: 106,178.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,830 : 51,346 = 51,346 : x
  2. Step 2: Convert to fraction form
    24,830/51,346 = 51,346/x
  3. Step 3: Cross multiply
    24,830x = 51,346 × 51,346
  4. Step 4: Simplify right side
    24,830x = 2,636,411,716
  5. Step 5: Solve for x
    x = 2,636,411,716/24,830
  6. Step 6: Final answer
    x = 106,178.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.