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Finding the Third Proportional to 4,444 and 9,572

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Solution

The third proportional to 4,444 and 9,572 is: 20,617.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,444 : 9,572 = 9,572 : x
  2. Step 2: Convert to fraction form
    4,444/9,572 = 9,572/x
  3. Step 3: Cross multiply
    4,444x = 9,572 × 9,572
  4. Step 4: Simplify right side
    4,444x = 91,623,184
  5. Step 5: Solve for x
    x = 91,623,184/4,444
  6. Step 6: Final answer
    x = 20,617.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.