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Finding the Third Proportional to 7,556 and 10,570

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Solution

The third proportional to 7,556 and 10,570 is: 14,786.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,556 : 10,570 = 10,570 : x
  2. Step 2: Convert to fraction form
    7,556/10,570 = 10,570/x
  3. Step 3: Cross multiply
    7,556x = 10,570 × 10,570
  4. Step 4: Simplify right side
    7,556x = 111,724,900
  5. Step 5: Solve for x
    x = 111,724,900/7,556
  6. Step 6: Final answer
    x = 14,786.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.