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Finding the Third Proportional to 54,813 and 74,275.50

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Solution

The third proportional to 54,813 and 74,275.50 is: 100,648.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,813 : 74,275.50 = 74,275.50 : x
  2. Step 2: Convert to fraction form
    54,813/74,275.50 = 74,275.50/x
  3. Step 3: Cross multiply
    54,813x = 74,275.50 × 74,275.50
  4. Step 4: Simplify right side
    54,813x = 5,516,849,900.25
  5. Step 5: Solve for x
    x = 5,516,849,900.25/54,813
  6. Step 6: Final answer
    x = 100,648.57

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.