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Finding the Third Proportional to 4,703.06 and 10,330.03

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Solution

The third proportional to 4,703.06 and 10,330.03 is: 22,689.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.06 : 10,330.03 = 10,330.03 : x
  2. Step 2: Convert to fraction form
    4,703.06/10,330.03 = 10,330.03/x
  3. Step 3: Cross multiply
    4,703.06x = 10,330.03 × 10,330.03
  4. Step 4: Simplify right side
    4,703.06x = 106,709,545.63
  5. Step 5: Solve for x
    x = 106,709,545.63/4,703.06
  6. Step 6: Final answer
    x = 22,689.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.