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Finding the Third Proportional to 7,746 and 18,240

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Solution

The third proportional to 7,746 and 18,240 is: 42,950.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,746 : 18,240 = 18,240 : x
  2. Step 2: Convert to fraction form
    7,746/18,240 = 18,240/x
  3. Step 3: Cross multiply
    7,746x = 18,240 × 18,240
  4. Step 4: Simplify right side
    7,746x = 332,697,600
  5. Step 5: Solve for x
    x = 332,697,600/7,746
  6. Step 6: Final answer
    x = 42,950.89

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.