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Finding the Third Proportional to 37,560 and 79,724

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Solution

The third proportional to 37,560 and 79,724 is: 169,220.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,560 : 79,724 = 79,724 : x
  2. Step 2: Convert to fraction form
    37,560/79,724 = 79,724/x
  3. Step 3: Cross multiply
    37,560x = 79,724 × 79,724
  4. Step 4: Simplify right side
    37,560x = 6,355,916,176
  5. Step 5: Solve for x
    x = 6,355,916,176/37,560
  6. Step 6: Final answer
    x = 169,220.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.