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Finding the Third Proportional to 54,820.50 and 74,288.25

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Solution

The third proportional to 54,820.50 and 74,288.25 is: 100,669.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,820.50 : 74,288.25 = 74,288.25 : x
  2. Step 2: Convert to fraction form
    54,820.50/74,288.25 = 74,288.25/x
  3. Step 3: Cross multiply
    54,820.50x = 74,288.25 × 74,288.25
  4. Step 4: Simplify right side
    54,820.50x = 5,518,744,088.06
  5. Step 5: Solve for x
    x = 5,518,744,088.06/54,820.50
  6. Step 6: Final answer
    x = 100,669.35

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