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Finding the Third Proportional to 24,705 and 51,045

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Solution

The third proportional to 24,705 and 51,045 is: 105,468.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,705 : 51,045 = 51,045 : x
  2. Step 2: Convert to fraction form
    24,705/51,045 = 51,045/x
  3. Step 3: Cross multiply
    24,705x = 51,045 × 51,045
  4. Step 4: Simplify right side
    24,705x = 2,605,592,025
  5. Step 5: Solve for x
    x = 2,605,592,025/24,705
  6. Step 6: Final answer
    x = 105,468.21

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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.