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Finding the Third Proportional to 45,582.19 and 69,003

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Solution

The third proportional to 45,582.19 and 69,003 is: 104,457.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,582.19 : 69,003 = 69,003 : x
  2. Step 2: Convert to fraction form
    45,582.19/69,003 = 69,003/x
  3. Step 3: Cross multiply
    45,582.19x = 69,003 × 69,003
  4. Step 4: Simplify right side
    45,582.19x = 4,761,414,009
  5. Step 5: Solve for x
    x = 4,761,414,009/45,582.19
  6. Step 6: Final answer
    x = 104,457.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.