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Finding the Third Proportional to 27,907.03 and 41,742.84

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Solution

The third proportional to 27,907.03 and 41,742.84 is: 62,438.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,907.03 : 41,742.84 = 41,742.84 : x
  2. Step 2: Convert to fraction form
    27,907.03/41,742.84 = 41,742.84/x
  3. Step 3: Cross multiply
    27,907.03x = 41,742.84 × 41,742.84
  4. Step 4: Simplify right side
    27,907.03x = 1,742,465,004.34
  5. Step 5: Solve for x
    x = 1,742,465,004.34/27,907.03
  6. Step 6: Final answer
    x = 62,438.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.