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Finding the Third Proportional to 9,832.01 and 21,220.10

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Solution

The third proportional to 9,832.01 and 21,220.10 is: 45,798.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.01 : 21,220.10 = 21,220.10 : x
  2. Step 2: Convert to fraction form
    9,832.01/21,220.10 = 21,220.10/x
  3. Step 3: Cross multiply
    9,832.01x = 21,220.10 × 21,220.10
  4. Step 4: Simplify right side
    9,832.01x = 450,292,710.32
  5. Step 5: Solve for x
    x = 450,292,710.32/9,832.01
  6. Step 6: Final answer
    x = 45,798.65

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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.