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Finding the Third Proportional to 49,374.56 and 74,498.06

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Solution

The third proportional to 49,374.56 and 74,498.06 is: 112,405.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,374.56 : 74,498.06 = 74,498.06 : x
  2. Step 2: Convert to fraction form
    49,374.56/74,498.06 = 74,498.06/x
  3. Step 3: Cross multiply
    49,374.56x = 74,498.06 × 74,498.06
  4. Step 4: Simplify right side
    49,374.56x = 5,549,961,316.25
  5. Step 5: Solve for x
    x = 5,549,961,316.25/49,374.56
  6. Step 6: Final answer
    x = 112,405.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.