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Finding the Third Proportional to 48,362.63 and 74,701.69

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Solution

The third proportional to 48,362.63 and 74,701.69 is: 115,385.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,362.63 : 74,701.69 = 74,701.69 : x
  2. Step 2: Convert to fraction form
    48,362.63/74,701.69 = 74,701.69/x
  3. Step 3: Cross multiply
    48,362.63x = 74,701.69 × 74,701.69
  4. Step 4: Simplify right side
    48,362.63x = 5,580,342,115.35
  5. Step 5: Solve for x
    x = 5,580,342,115.35/48,362.63
  6. Step 6: Final answer
    x = 115,385.43

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.