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Finding the Third Proportional to 1,506.47 and 2,317.03

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Solution

The third proportional to 1,506.47 and 2,317.03 is: 3,563.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.47 : 2,317.03 = 2,317.03 : x
  2. Step 2: Convert to fraction form
    1,506.47/2,317.03 = 2,317.03/x
  3. Step 3: Cross multiply
    1,506.47x = 2,317.03 × 2,317.03
  4. Step 4: Simplify right side
    1,506.47x = 5,368,633.81
  5. Step 5: Solve for x
    x = 5,368,633.81/1,506.47
  6. Step 6: Final answer
    x = 3,563.72

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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.