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Finding the Third Proportional to 1,570.01 and 2,299.01

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Solution

The third proportional to 1,570.01 and 2,299.01 is: 3,366.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.01 : 2,299.01 = 2,299.01 : x
  2. Step 2: Convert to fraction form
    1,570.01/2,299.01 = 2,299.01/x
  3. Step 3: Cross multiply
    1,570.01x = 2,299.01 × 2,299.01
  4. Step 4: Simplify right side
    1,570.01x = 5,285,436.92
  5. Step 5: Solve for x
    x = 5,285,436.92/1,570.01
  6. Step 6: Final answer
    x = 3,366.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.