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Finding the Third Proportional to 13,585 and 32,017

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Solution

The third proportional to 13,585 and 32,017 is: 75,457.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,585 : 32,017 = 32,017 : x
  2. Step 2: Convert to fraction form
    13,585/32,017 = 32,017/x
  3. Step 3: Cross multiply
    13,585x = 32,017 × 32,017
  4. Step 4: Simplify right side
    13,585x = 1,025,088,289
  5. Step 5: Solve for x
    x = 1,025,088,289/13,585
  6. Step 6: Final answer
    x = 75,457.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.