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Finding the Third Proportional to 45,586.69 and 69,009.19

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Solution

The third proportional to 45,586.69 and 69,009.19 is: 104,466.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,586.69 : 69,009.19 = 69,009.19 : x
  2. Step 2: Convert to fraction form
    45,586.69/69,009.19 = 69,009.19/x
  3. Step 3: Cross multiply
    45,586.69x = 69,009.19 × 69,009.19
  4. Step 4: Simplify right side
    45,586.69x = 4,762,267,959.41
  5. Step 5: Solve for x
    x = 4,762,267,959.41/45,586.69
  6. Step 6: Final answer
    x = 104,466.20

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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.