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Finding the Third Proportional to 4,297.75 and 5,798.63

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Solution

The third proportional to 4,297.75 and 5,798.63 is: 7,823.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.75 : 5,798.63 = 5,798.63 : x
  2. Step 2: Convert to fraction form
    4,297.75/5,798.63 = 5,798.63/x
  3. Step 3: Cross multiply
    4,297.75x = 5,798.63 × 5,798.63
  4. Step 4: Simplify right side
    4,297.75x = 33,624,051.89
  5. Step 5: Solve for x
    x = 33,624,051.89/4,297.75
  6. Step 6: Final answer
    x = 7,823.64

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.