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Finding the Third Proportional to 24,658 and 46,436

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Solution

The third proportional to 24,658 and 46,436 is: 87,448.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,658 : 46,436 = 46,436 : x
  2. Step 2: Convert to fraction form
    24,658/46,436 = 46,436/x
  3. Step 3: Cross multiply
    24,658x = 46,436 × 46,436
  4. Step 4: Simplify right side
    24,658x = 2,156,302,096
  5. Step 5: Solve for x
    x = 2,156,302,096/24,658
  6. Step 6: Final answer
    x = 87,448.38

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.