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Finding the Third Proportional to 9,533.95 and 19,337.01

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Solution

The third proportional to 9,533.95 and 19,337.01 is: 39,219.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.95 : 19,337.01 = 19,337.01 : x
  2. Step 2: Convert to fraction form
    9,533.95/19,337.01 = 19,337.01/x
  3. Step 3: Cross multiply
    9,533.95x = 19,337.01 × 19,337.01
  4. Step 4: Simplify right side
    9,533.95x = 373,919,946.68
  5. Step 5: Solve for x
    x = 373,919,946.68/9,533.95
  6. Step 6: Final answer
    x = 39,219.82

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.