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Finding the Third Proportional to 7,417.38 and 9,908.25

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Solution

The third proportional to 7,417.38 and 9,908.25 is: 13,235.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,417.38 : 9,908.25 = 9,908.25 : x
  2. Step 2: Convert to fraction form
    7,417.38/9,908.25 = 9,908.25/x
  3. Step 3: Cross multiply
    7,417.38x = 9,908.25 × 9,908.25
  4. Step 4: Simplify right side
    7,417.38x = 98,173,418.06
  5. Step 5: Solve for x
    x = 98,173,418.06/7,417.38
  6. Step 6: Final answer
    x = 13,235.60

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.