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Finding the Third Proportional to 9,738 and 21,008.25

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Solution

The third proportional to 9,738 and 21,008.25 is: 45,322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738 : 21,008.25 = 21,008.25 : x
  2. Step 2: Convert to fraction form
    9,738/21,008.25 = 21,008.25/x
  3. Step 3: Cross multiply
    9,738x = 21,008.25 × 21,008.25
  4. Step 4: Simplify right side
    9,738x = 441,346,568.06
  5. Step 5: Solve for x
    x = 441,346,568.06/9,738
  6. Step 6: Final answer
    x = 45,322.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.