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Finding the Third Proportional to 4,509.75 and 6,590.06

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Solution

The third proportional to 4,509.75 and 6,590.06 is: 9,630.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.75 : 6,590.06 = 6,590.06 : x
  2. Step 2: Convert to fraction form
    4,509.75/6,590.06 = 6,590.06/x
  3. Step 3: Cross multiply
    4,509.75x = 6,590.06 × 6,590.06
  4. Step 4: Simplify right side
    4,509.75x = 43,428,923.75
  5. Step 5: Solve for x
    x = 43,428,923.75/4,509.75
  6. Step 6: Final answer
    x = 9,630.01

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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.