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Finding the Third Proportional to 57,374.58 and 84,311.51

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Solution

The third proportional to 57,374.58 and 84,311.51 is: 123,895.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,374.58 : 84,311.51 = 84,311.51 : x
  2. Step 2: Convert to fraction form
    57,374.58/84,311.51 = 84,311.51/x
  3. Step 3: Cross multiply
    57,374.58x = 84,311.51 × 84,311.51
  4. Step 4: Simplify right side
    57,374.58x = 7,108,430,349.62
  5. Step 5: Solve for x
    x = 7,108,430,349.62/57,374.58
  6. Step 6: Final answer
    x = 123,895.12

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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.