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Finding the Third Proportional to 9,055.13 and 13,235.06

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Solution

The third proportional to 9,055.13 and 13,235.06 is: 19,344.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,055.13 : 13,235.06 = 13,235.06 : x
  2. Step 2: Convert to fraction form
    9,055.13/13,235.06 = 13,235.06/x
  3. Step 3: Cross multiply
    9,055.13x = 13,235.06 × 13,235.06
  4. Step 4: Simplify right side
    9,055.13x = 175,166,879.38
  5. Step 5: Solve for x
    x = 175,166,879.38/9,055.13
  6. Step 6: Final answer
    x = 19,344.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.