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Finding the Third Proportional to 7,709.06 and 16,645.50

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Solution

The third proportional to 7,709.06 and 16,645.50 is: 35,941.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.06 : 16,645.50 = 16,645.50 : x
  2. Step 2: Convert to fraction form
    7,709.06/16,645.50 = 16,645.50/x
  3. Step 3: Cross multiply
    7,709.06x = 16,645.50 × 16,645.50
  4. Step 4: Simplify right side
    7,709.06x = 277,072,670.25
  5. Step 5: Solve for x
    x = 277,072,670.25/7,709.06
  6. Step 6: Final answer
    x = 35,941.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.