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Finding the Third Proportional to 24,875.38 and 51,210.75

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Solution

The third proportional to 24,875.38 and 51,210.75 is: 105,427.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,875.38 : 51,210.75 = 51,210.75 : x
  2. Step 2: Convert to fraction form
    24,875.38/51,210.75 = 51,210.75/x
  3. Step 3: Cross multiply
    24,875.38x = 51,210.75 × 51,210.75
  4. Step 4: Simplify right side
    24,875.38x = 2,622,540,915.56
  5. Step 5: Solve for x
    x = 2,622,540,915.56/24,875.38
  6. Step 6: Final answer
    x = 105,427.19

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.