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Finding the Third Proportional to 1,913.63 and 2,317.04

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Solution

The third proportional to 1,913.63 and 2,317.04 is: 2,805.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.63 : 2,317.04 = 2,317.04 : x
  2. Step 2: Convert to fraction form
    1,913.63/2,317.04 = 2,317.04/x
  3. Step 3: Cross multiply
    1,913.63x = 2,317.04 × 2,317.04
  4. Step 4: Simplify right side
    1,913.63x = 5,368,688.12
  5. Step 5: Solve for x
    x = 5,368,688.12/1,913.63
  6. Step 6: Final answer
    x = 2,805.51

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.