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Finding the Third Proportional to 53,472.75 and 74,756.25

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Solution

The third proportional to 53,472.75 and 74,756.25 is: 104,511.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,472.75 : 74,756.25 = 74,756.25 : x
  2. Step 2: Convert to fraction form
    53,472.75/74,756.25 = 74,756.25/x
  3. Step 3: Cross multiply
    53,472.75x = 74,756.25 × 74,756.25
  4. Step 4: Simplify right side
    53,472.75x = 5,588,496,914.06
  5. Step 5: Solve for x
    x = 5,588,496,914.06/53,472.75
  6. Step 6: Final answer
    x = 104,511.12

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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.