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Finding the Third Proportional to 9,059.34 and 19,957.64

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Solution

The third proportional to 9,059.34 and 19,957.64 is: 43,966.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,059.34 : 19,957.64 = 19,957.64 : x
  2. Step 2: Convert to fraction form
    9,059.34/19,957.64 = 19,957.64/x
  3. Step 3: Cross multiply
    9,059.34x = 19,957.64 × 19,957.64
  4. Step 4: Simplify right side
    9,059.34x = 398,307,419.32
  5. Step 5: Solve for x
    x = 398,307,419.32/9,059.34
  6. Step 6: Final answer
    x = 43,966.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.