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Finding the Third Proportional to 10,698.07 and 23,087.64

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Solution

The third proportional to 10,698.07 and 23,087.64 is: 49,825.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.07 : 23,087.64 = 23,087.64 : x
  2. Step 2: Convert to fraction form
    10,698.07/23,087.64 = 23,087.64/x
  3. Step 3: Cross multiply
    10,698.07x = 23,087.64 × 23,087.64
  4. Step 4: Simplify right side
    10,698.07x = 533,038,969.26
  5. Step 5: Solve for x
    x = 533,038,969.26/10,698.07
  6. Step 6: Final answer
    x = 49,825.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.