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Finding the Third Proportional to 7,048.90 and 15,012.21

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Solution

The third proportional to 7,048.90 and 15,012.21 is: 31,971.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048.90 : 15,012.21 = 15,012.21 : x
  2. Step 2: Convert to fraction form
    7,048.90/15,012.21 = 15,012.21/x
  3. Step 3: Cross multiply
    7,048.90x = 15,012.21 × 15,012.21
  4. Step 4: Simplify right side
    7,048.90x = 225,366,477.23
  5. Step 5: Solve for x
    x = 225,366,477.23/7,048.90
  6. Step 6: Final answer
    x = 31,971.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.