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Finding the Third Proportional to 7,074 and 16,520.63

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Solution

The third proportional to 7,074 and 16,520.63 is: 38,582.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074 : 16,520.63 = 16,520.63 : x
  2. Step 2: Convert to fraction form
    7,074/16,520.63 = 16,520.63/x
  3. Step 3: Cross multiply
    7,074x = 16,520.63 × 16,520.63
  4. Step 4: Simplify right side
    7,074x = 272,931,050.39
  5. Step 5: Solve for x
    x = 272,931,050.39/7,074
  6. Step 6: Final answer
    x = 38,582.28

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.