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Finding the Third Proportional to 43,585 and 67,028

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Solution

The third proportional to 43,585 and 67,028 is: 103,080.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,585 : 67,028 = 67,028 : x
  2. Step 2: Convert to fraction form
    43,585/67,028 = 67,028/x
  3. Step 3: Cross multiply
    43,585x = 67,028 × 67,028
  4. Step 4: Simplify right side
    43,585x = 4,492,752,784
  5. Step 5: Solve for x
    x = 4,492,752,784/43,585
  6. Step 6: Final answer
    x = 103,080.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.