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Finding the Third Proportional to 12,967.25 and 20,585

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Solution

The third proportional to 12,967.25 and 20,585 is: 32,677.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.25 : 20,585 = 20,585 : x
  2. Step 2: Convert to fraction form
    12,967.25/20,585 = 20,585/x
  3. Step 3: Cross multiply
    12,967.25x = 20,585 × 20,585
  4. Step 4: Simplify right side
    12,967.25x = 423,742,225
  5. Step 5: Solve for x
    x = 423,742,225/12,967.25
  6. Step 6: Final answer
    x = 32,677.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.