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Finding the Third Proportional to 1,161.84 and 2,541.53

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Solution

The third proportional to 1,161.84 and 2,541.53 is: 5,559.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.84 : 2,541.53 = 2,541.53 : x
  2. Step 2: Convert to fraction form
    1,161.84/2,541.53 = 2,541.53/x
  3. Step 3: Cross multiply
    1,161.84x = 2,541.53 × 2,541.53
  4. Step 4: Simplify right side
    1,161.84x = 6,459,391.02
  5. Step 5: Solve for x
    x = 6,459,391.02/1,161.84
  6. Step 6: Final answer
    x = 5,559.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.