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Finding the Third Proportional to 7,109.44 and 10,762.03

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Solution

The third proportional to 7,109.44 and 10,762.03 is: 16,291.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.44 : 10,762.03 = 10,762.03 : x
  2. Step 2: Convert to fraction form
    7,109.44/10,762.03 = 10,762.03/x
  3. Step 3: Cross multiply
    7,109.44x = 10,762.03 × 10,762.03
  4. Step 4: Simplify right side
    7,109.44x = 115,821,316.63
  5. Step 5: Solve for x
    x = 115,821,316.63/7,109.44
  6. Step 6: Final answer
    x = 16,291.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.