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Finding the Third Proportional to 1,561.13 and 2,358.56

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Solution

The third proportional to 1,561.13 and 2,358.56 is: 3,563.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.13 : 2,358.56 = 2,358.56 : x
  2. Step 2: Convert to fraction form
    1,561.13/2,358.56 = 2,358.56/x
  3. Step 3: Cross multiply
    1,561.13x = 2,358.56 × 2,358.56
  4. Step 4: Simplify right side
    1,561.13x = 5,562,817.07
  5. Step 5: Solve for x
    x = 5,562,817.07/1,561.13
  6. Step 6: Final answer
    x = 3,563.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.