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Finding the Third Proportional to 24,907 and 37,454

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Solution

The third proportional to 24,907 and 37,454 is: 56,321.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,907 : 37,454 = 37,454 : x
  2. Step 2: Convert to fraction form
    24,907/37,454 = 37,454/x
  3. Step 3: Cross multiply
    24,907x = 37,454 × 37,454
  4. Step 4: Simplify right side
    24,907x = 1,402,802,116
  5. Step 5: Solve for x
    x = 1,402,802,116/24,907
  6. Step 6: Final answer
    x = 56,321.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.