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Finding the Third Proportional to 18,169 and 25,021

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Solution

The third proportional to 18,169 and 25,021 is: 34,457.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,169 : 25,021 = 25,021 : x
  2. Step 2: Convert to fraction form
    18,169/25,021 = 25,021/x
  3. Step 3: Cross multiply
    18,169x = 25,021 × 25,021
  4. Step 4: Simplify right side
    18,169x = 626,050,441
  5. Step 5: Solve for x
    x = 626,050,441/18,169
  6. Step 6: Final answer
    x = 34,457.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.