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Finding the Third Proportional to 2,505.66 and 3,903.47

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Solution

The third proportional to 2,505.66 and 3,903.47 is: 6,081.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.66 : 3,903.47 = 3,903.47 : x
  2. Step 2: Convert to fraction form
    2,505.66/3,903.47 = 3,903.47/x
  3. Step 3: Cross multiply
    2,505.66x = 3,903.47 × 3,903.47
  4. Step 4: Simplify right side
    2,505.66x = 15,237,068.28
  5. Step 5: Solve for x
    x = 15,237,068.28/2,505.66
  6. Step 6: Final answer
    x = 6,081.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.