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Finding the Third Proportional to 45,406.41 and 70,869.09

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Solution

The third proportional to 45,406.41 and 70,869.09 is: 110,610.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,406.41 : 70,869.09 = 70,869.09 : x
  2. Step 2: Convert to fraction form
    45,406.41/70,869.09 = 70,869.09/x
  3. Step 3: Cross multiply
    45,406.41x = 70,869.09 × 70,869.09
  4. Step 4: Simplify right side
    45,406.41x = 5,022,428,448.95
  5. Step 5: Solve for x
    x = 5,022,428,448.95/45,406.41
  6. Step 6: Final answer
    x = 110,610.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.