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Finding the Third Proportional to 53,488.69 and 74,774.81

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Solution

The third proportional to 53,488.69 and 74,774.81 is: 104,531.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,488.69 : 74,774.81 = 74,774.81 : x
  2. Step 2: Convert to fraction form
    53,488.69/74,774.81 = 74,774.81/x
  3. Step 3: Cross multiply
    53,488.69x = 74,774.81 × 74,774.81
  4. Step 4: Simplify right side
    53,488.69x = 5,591,272,584.41
  5. Step 5: Solve for x
    x = 5,591,272,584.41/53,488.69
  6. Step 6: Final answer
    x = 104,531.87

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.