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Finding the Third Proportional to 48,614.63 and 74,997

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Solution

The third proportional to 48,614.63 and 74,997 is: 115,696.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,614.63 : 74,997 = 74,997 : x
  2. Step 2: Convert to fraction form
    48,614.63/74,997 = 74,997/x
  3. Step 3: Cross multiply
    48,614.63x = 74,997 × 74,997
  4. Step 4: Simplify right side
    48,614.63x = 5,624,550,009
  5. Step 5: Solve for x
    x = 5,624,550,009/48,614.63
  6. Step 6: Final answer
    x = 115,696.67

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Why These Related Problems?

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