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Finding the Third Proportional to 30,017.67 and 63,341.37

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Solution

The third proportional to 30,017.67 and 63,341.37 is: 133,658.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,017.67 : 63,341.37 = 63,341.37 : x
  2. Step 2: Convert to fraction form
    30,017.67/63,341.37 = 63,341.37/x
  3. Step 3: Cross multiply
    30,017.67x = 63,341.37 × 63,341.37
  4. Step 4: Simplify right side
    30,017.67x = 4,012,128,797.18
  5. Step 5: Solve for x
    x = 4,012,128,797.18/30,017.67
  6. Step 6: Final answer
    x = 133,658.89

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.