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Finding the Third Proportional to 19,041.47 and 41,261.06

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Solution

The third proportional to 19,041.47 and 41,261.06 is: 89,408.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,041.47 : 41,261.06 = 41,261.06 : x
  2. Step 2: Convert to fraction form
    19,041.47/41,261.06 = 41,261.06/x
  3. Step 3: Cross multiply
    19,041.47x = 41,261.06 × 41,261.06
  4. Step 4: Simplify right side
    19,041.47x = 1,702,475,278.63
  5. Step 5: Solve for x
    x = 1,702,475,278.63/19,041.47
  6. Step 6: Final answer
    x = 89,408.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.