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Finding the Third Proportional to 35,187.75 and 51,848.44

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Solution

The third proportional to 35,187.75 and 51,848.44 is: 76,397.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,187.75 : 51,848.44 = 51,848.44 : x
  2. Step 2: Convert to fraction form
    35,187.75/51,848.44 = 51,848.44/x
  3. Step 3: Cross multiply
    35,187.75x = 51,848.44 × 51,848.44
  4. Step 4: Simplify right side
    35,187.75x = 2,688,260,471.19
  5. Step 5: Solve for x
    x = 2,688,260,471.19/35,187.75
  6. Step 6: Final answer
    x = 76,397.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.