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Finding the Third Proportional to 30,167.44 and 64,491.19

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Solution

The third proportional to 30,167.44 and 64,491.19 is: 137,867.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,167.44 : 64,491.19 = 64,491.19 : x
  2. Step 2: Convert to fraction form
    30,167.44/64,491.19 = 64,491.19/x
  3. Step 3: Cross multiply
    30,167.44x = 64,491.19 × 64,491.19
  4. Step 4: Simplify right side
    30,167.44x = 4,159,113,265.16
  5. Step 5: Solve for x
    x = 4,159,113,265.16/30,167.44
  6. Step 6: Final answer
    x = 137,867.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.