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Finding the Third Proportional to 4,590 and 6,033

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Solution

The third proportional to 4,590 and 6,033 is: 7,929.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590 : 6,033 = 6,033 : x
  2. Step 2: Convert to fraction form
    4,590/6,033 = 6,033/x
  3. Step 3: Cross multiply
    4,590x = 6,033 × 6,033
  4. Step 4: Simplify right side
    4,590x = 36,397,089
  5. Step 5: Solve for x
    x = 36,397,089/4,590
  6. Step 6: Final answer
    x = 7,929.65

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.