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Finding the Third Proportional to 4,368.94 and 8,105.06

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Solution

The third proportional to 4,368.94 and 8,105.06 is: 15,036.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,368.94 : 8,105.06 = 8,105.06 : x
  2. Step 2: Convert to fraction form
    4,368.94/8,105.06 = 8,105.06/x
  3. Step 3: Cross multiply
    4,368.94x = 8,105.06 × 8,105.06
  4. Step 4: Simplify right side
    4,368.94x = 65,692,038.13
  5. Step 5: Solve for x
    x = 65,692,038.13/4,368.94
  6. Step 6: Final answer
    x = 15,036.16

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.