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Finding the Third Proportional to 1,568.74 and 2,410.07

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Solution

The third proportional to 1,568.74 and 2,410.07 is: 3,702.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.74 : 2,410.07 = 2,410.07 : x
  2. Step 2: Convert to fraction form
    1,568.74/2,410.07 = 2,410.07/x
  3. Step 3: Cross multiply
    1,568.74x = 2,410.07 × 2,410.07
  4. Step 4: Simplify right side
    1,568.74x = 5,808,420.08
  5. Step 5: Solve for x
    x = 5,808,420.08/1,568.74
  6. Step 6: Final answer
    x = 3,702.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.