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Finding the Third Proportional to 9,235.13 and 19,783.13

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Solution

The third proportional to 9,235.13 and 19,783.13 is: 42,378.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.13 : 19,783.13 = 19,783.13 : x
  2. Step 2: Convert to fraction form
    9,235.13/19,783.13 = 19,783.13/x
  3. Step 3: Cross multiply
    9,235.13x = 19,783.13 × 19,783.13
  4. Step 4: Simplify right side
    9,235.13x = 391,372,034.77
  5. Step 5: Solve for x
    x = 391,372,034.77/9,235.13
  6. Step 6: Final answer
    x = 42,378.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.