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Finding the Third Proportional to 7,421 and 8,033

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Solution

The third proportional to 7,421 and 8,033 is: 8,695.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,421 : 8,033 = 8,033 : x
  2. Step 2: Convert to fraction form
    7,421/8,033 = 8,033/x
  3. Step 3: Cross multiply
    7,421x = 8,033 × 8,033
  4. Step 4: Simplify right side
    7,421x = 64,529,089
  5. Step 5: Solve for x
    x = 64,529,089/7,421
  6. Step 6: Final answer
    x = 8,695.47

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.