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Finding the Third Proportional to 4,345.45 and 9,346.08

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Solution

The third proportional to 4,345.45 and 9,346.08 is: 20,101.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,345.45 : 9,346.08 = 9,346.08 : x
  2. Step 2: Convert to fraction form
    4,345.45/9,346.08 = 9,346.08/x
  3. Step 3: Cross multiply
    4,345.45x = 9,346.08 × 9,346.08
  4. Step 4: Simplify right side
    4,345.45x = 87,349,176.32
  5. Step 5: Solve for x
    x = 87,349,176.32/4,345.45
  6. Step 6: Final answer
    x = 20,101.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.