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Finding the Third Proportional to 30,466.13 and 64,774.69

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Solution

The third proportional to 30,466.13 and 64,774.69 is: 137,718.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,466.13 : 64,774.69 = 64,774.69 : x
  2. Step 2: Convert to fraction form
    30,466.13/64,774.69 = 64,774.69/x
  3. Step 3: Cross multiply
    30,466.13x = 64,774.69 × 64,774.69
  4. Step 4: Simplify right side
    30,466.13x = 4,195,760,140.72
  5. Step 5: Solve for x
    x = 4,195,760,140.72/30,466.13
  6. Step 6: Final answer
    x = 137,718.86

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.