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Finding the Third Proportional to 30,167.44 and 64,341

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Solution

The third proportional to 30,167.44 and 64,341 is: 137,226.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,167.44 : 64,341 = 64,341 : x
  2. Step 2: Convert to fraction form
    30,167.44/64,341 = 64,341/x
  3. Step 3: Cross multiply
    30,167.44x = 64,341 × 64,341
  4. Step 4: Simplify right side
    30,167.44x = 4,139,764,281
  5. Step 5: Solve for x
    x = 4,139,764,281/30,167.44
  6. Step 6: Final answer
    x = 137,226.25

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Why These Related Problems?

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