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Finding the Third Proportional to 36,829.69 and 71,430.19

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Solution

The third proportional to 36,829.69 and 71,430.19 is: 138,536.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,829.69 : 71,430.19 = 71,430.19 : x
  2. Step 2: Convert to fraction form
    36,829.69/71,430.19 = 71,430.19/x
  3. Step 3: Cross multiply
    36,829.69x = 71,430.19 × 71,430.19
  4. Step 4: Simplify right side
    36,829.69x = 5,102,271,686.29
  5. Step 5: Solve for x
    x = 5,102,271,686.29/36,829.69
  6. Step 6: Final answer
    x = 138,536.93

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.