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Finding the Third Proportional to 18,672 and 25,020

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Solution

The third proportional to 18,672 and 25,020 is: 33,526.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,672 : 25,020 = 25,020 : x
  2. Step 2: Convert to fraction form
    18,672/25,020 = 25,020/x
  3. Step 3: Cross multiply
    18,672x = 25,020 × 25,020
  4. Step 4: Simplify right side
    18,672x = 626,000,400
  5. Step 5: Solve for x
    x = 626,000,400/18,672
  6. Step 6: Final answer
    x = 33,526.16

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.