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Finding the Third Proportional to 30,709.13 and 63,802.69

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Solution

The third proportional to 30,709.13 and 63,802.69 is: 132,559.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,709.13 : 63,802.69 = 63,802.69 : x
  2. Step 2: Convert to fraction form
    30,709.13/63,802.69 = 63,802.69/x
  3. Step 3: Cross multiply
    30,709.13x = 63,802.69 × 63,802.69
  4. Step 4: Simplify right side
    30,709.13x = 4,070,782,932.22
  5. Step 5: Solve for x
    x = 4,070,782,932.22/30,709.13
  6. Step 6: Final answer
    x = 132,559.39

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.