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Finding the Third Proportional to 7,700.63 and 11,012.06

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Solution

The third proportional to 7,700.63 and 11,012.06 is: 15,747.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.63 : 11,012.06 = 11,012.06 : x
  2. Step 2: Convert to fraction form
    7,700.63/11,012.06 = 11,012.06/x
  3. Step 3: Cross multiply
    7,700.63x = 11,012.06 × 11,012.06
  4. Step 4: Simplify right side
    7,700.63x = 121,265,520.50
  5. Step 5: Solve for x
    x = 121,265,520.50/7,700.63
  6. Step 6: Final answer
    x = 15,747.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.