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Finding the Third Proportional to 1,575.09 and 2,317.01

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Solution

The third proportional to 1,575.09 and 2,317.01 is: 3,408.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.09 : 2,317.01 = 2,317.01 : x
  2. Step 2: Convert to fraction form
    1,575.09/2,317.01 = 2,317.01/x
  3. Step 3: Cross multiply
    1,575.09x = 2,317.01 × 2,317.01
  4. Step 4: Simplify right side
    1,575.09x = 5,368,525.20
  5. Step 5: Solve for x
    x = 5,368,525.20/1,575.09
  6. Step 6: Final answer
    x = 3,408.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.