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Finding the Third Proportional to 24,260 and 51,064

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Solution

The third proportional to 24,260 and 51,064 is: 107,482.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,260 : 51,064 = 51,064 : x
  2. Step 2: Convert to fraction form
    24,260/51,064 = 51,064/x
  3. Step 3: Cross multiply
    24,260x = 51,064 × 51,064
  4. Step 4: Simplify right side
    24,260x = 2,607,532,096
  5. Step 5: Solve for x
    x = 2,607,532,096/24,260
  6. Step 6: Final answer
    x = 107,482.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.