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Finding the Third Proportional to 30,741.75 and 45,019.13

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Solution

The third proportional to 30,741.75 and 45,019.13 is: 65,927.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,741.75 : 45,019.13 = 45,019.13 : x
  2. Step 2: Convert to fraction form
    30,741.75/45,019.13 = 45,019.13/x
  3. Step 3: Cross multiply
    30,741.75x = 45,019.13 × 45,019.13
  4. Step 4: Simplify right side
    30,741.75x = 2,026,721,615.77
  5. Step 5: Solve for x
    x = 2,026,721,615.77/30,741.75
  6. Step 6: Final answer
    x = 65,927.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.