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Finding the Third Proportional to 48,038.06 and 73,218.94

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Solution

The third proportional to 48,038.06 and 73,218.94 is: 111,599.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,038.06 : 73,218.94 = 73,218.94 : x
  2. Step 2: Convert to fraction form
    48,038.06/73,218.94 = 73,218.94/x
  3. Step 3: Cross multiply
    48,038.06x = 73,218.94 × 73,218.94
  4. Step 4: Simplify right side
    48,038.06x = 5,361,012,808.63
  5. Step 5: Solve for x
    x = 5,361,012,808.63/48,038.06
  6. Step 6: Final answer
    x = 111,599.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.