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Finding the Third Proportional to 30,030.67 and 64,469.51

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Solution

The third proportional to 30,030.67 and 64,469.51 is: 138,402.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,030.67 : 64,469.51 = 64,469.51 : x
  2. Step 2: Convert to fraction form
    30,030.67/64,469.51 = 64,469.51/x
  3. Step 3: Cross multiply
    30,030.67x = 64,469.51 × 64,469.51
  4. Step 4: Simplify right side
    30,030.67x = 4,156,318,193.09
  5. Step 5: Solve for x
    x = 4,156,318,193.09/30,030.67
  6. Step 6: Final answer
    x = 138,402.44

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.