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Finding the Third Proportional to 2,386.13 and 3,785.06

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Solution

The third proportional to 2,386.13 and 3,785.06 is: 6,004.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.13 : 3,785.06 = 3,785.06 : x
  2. Step 2: Convert to fraction form
    2,386.13/3,785.06 = 3,785.06/x
  3. Step 3: Cross multiply
    2,386.13x = 3,785.06 × 3,785.06
  4. Step 4: Simplify right side
    2,386.13x = 14,326,698.13
  5. Step 5: Solve for x
    x = 14,326,698.13/2,386.13
  6. Step 6: Final answer
    x = 6,004.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.