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Finding the Third Proportional to 9,051.75 and 19,804.50

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Solution

The third proportional to 9,051.75 and 19,804.50 is: 43,330.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,051.75 : 19,804.50 = 19,804.50 : x
  2. Step 2: Convert to fraction form
    9,051.75/19,804.50 = 19,804.50/x
  3. Step 3: Cross multiply
    9,051.75x = 19,804.50 × 19,804.50
  4. Step 4: Simplify right side
    9,051.75x = 392,218,220.25
  5. Step 5: Solve for x
    x = 392,218,220.25/9,051.75
  6. Step 6: Final answer
    x = 43,330.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.