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Finding the Third Proportional to 9,439 and 22,043

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Solution

The third proportional to 9,439 and 22,043 is: 51,477.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,439 : 22,043 = 22,043 : x
  2. Step 2: Convert to fraction form
    9,439/22,043 = 22,043/x
  3. Step 3: Cross multiply
    9,439x = 22,043 × 22,043
  4. Step 4: Simplify right side
    9,439x = 485,893,849
  5. Step 5: Solve for x
    x = 485,893,849/9,439
  6. Step 6: Final answer
    x = 51,477.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.