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Finding the Third Proportional to 7,907.63 and 17,637.75

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Solution

The third proportional to 7,907.63 and 17,637.75 is: 39,340.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,907.63 : 17,637.75 = 17,637.75 : x
  2. Step 2: Convert to fraction form
    7,907.63/17,637.75 = 17,637.75/x
  3. Step 3: Cross multiply
    7,907.63x = 17,637.75 × 17,637.75
  4. Step 4: Simplify right side
    7,907.63x = 311,090,225.06
  5. Step 5: Solve for x
    x = 311,090,225.06/7,907.63
  6. Step 6: Final answer
    x = 39,340.54

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.