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Finding the Third Proportional to 4,155.75 and 9,005.06

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Solution

The third proportional to 4,155.75 and 9,005.06 is: 19,513.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.75 : 9,005.06 = 9,005.06 : x
  2. Step 2: Convert to fraction form
    4,155.75/9,005.06 = 9,005.06/x
  3. Step 3: Cross multiply
    4,155.75x = 9,005.06 × 9,005.06
  4. Step 4: Simplify right side
    4,155.75x = 81,091,150.63
  5. Step 5: Solve for x
    x = 81,091,150.63/4,155.75
  6. Step 6: Final answer
    x = 19,513.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.