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Finding the Third Proportional to 9,032.63 and 19,704.38

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Solution

The third proportional to 9,032.63 and 19,704.38 is: 42,984.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032.63 : 19,704.38 = 19,704.38 : x
  2. Step 2: Convert to fraction form
    9,032.63/19,704.38 = 19,704.38/x
  3. Step 3: Cross multiply
    9,032.63x = 19,704.38 × 19,704.38
  4. Step 4: Simplify right side
    9,032.63x = 388,262,394.14
  5. Step 5: Solve for x
    x = 388,262,394.14/9,032.63
  6. Step 6: Final answer
    x = 42,984.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.