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Finding the Third Proportional to 49,579.97 and 72,293.06

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Solution

The third proportional to 49,579.97 and 72,293.06 is: 105,411.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,579.97 : 72,293.06 = 72,293.06 : x
  2. Step 2: Convert to fraction form
    49,579.97/72,293.06 = 72,293.06/x
  3. Step 3: Cross multiply
    49,579.97x = 72,293.06 × 72,293.06
  4. Step 4: Simplify right side
    49,579.97x = 5,226,286,885.63
  5. Step 5: Solve for x
    x = 5,226,286,885.63/49,579.97
  6. Step 6: Final answer
    x = 105,411.26

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.