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Finding the Third Proportional to 7,514.02 and 16,159.50

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Solution

The third proportional to 7,514.02 and 16,159.50 is: 34,752.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,514.02 : 16,159.50 = 16,159.50 : x
  2. Step 2: Convert to fraction form
    7,514.02/16,159.50 = 16,159.50/x
  3. Step 3: Cross multiply
    7,514.02x = 16,159.50 × 16,159.50
  4. Step 4: Simplify right side
    7,514.02x = 261,129,440.25
  5. Step 5: Solve for x
    x = 261,129,440.25/7,514.02
  6. Step 6: Final answer
    x = 34,752.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.