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Finding the Third Proportional to 7,712.63 and 16,746.75

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Solution

The third proportional to 7,712.63 and 16,746.75 is: 36,362.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.63 : 16,746.75 = 16,746.75 : x
  2. Step 2: Convert to fraction form
    7,712.63/16,746.75 = 16,746.75/x
  3. Step 3: Cross multiply
    7,712.63x = 16,746.75 × 16,746.75
  4. Step 4: Simplify right side
    7,712.63x = 280,453,635.56
  5. Step 5: Solve for x
    x = 280,453,635.56/7,712.63
  6. Step 6: Final answer
    x = 36,362.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.