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Finding the Third Proportional to 24,634.13 and 51,014.81

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Solution

The third proportional to 24,634.13 and 51,014.81 is: 105,646.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,634.13 : 51,014.81 = 51,014.81 : x
  2. Step 2: Convert to fraction form
    24,634.13/51,014.81 = 51,014.81/x
  3. Step 3: Cross multiply
    24,634.13x = 51,014.81 × 51,014.81
  4. Step 4: Simplify right side
    24,634.13x = 2,602,511,094.41
  5. Step 5: Solve for x
    x = 2,602,511,094.41/24,634.13
  6. Step 6: Final answer
    x = 105,646.58

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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.