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Finding the Third Proportional to 21,459.94 and 49,720.08

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Solution

The third proportional to 21,459.94 and 49,720.08 is: 115,195.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,459.94 : 49,720.08 = 49,720.08 : x
  2. Step 2: Convert to fraction form
    21,459.94/49,720.08 = 49,720.08/x
  3. Step 3: Cross multiply
    21,459.94x = 49,720.08 × 49,720.08
  4. Step 4: Simplify right side
    21,459.94x = 2,472,086,168.76
  5. Step 5: Solve for x
    x = 2,472,086,168.76/21,459.94
  6. Step 6: Final answer
    x = 115,195.40

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.