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Finding the Third Proportional to 48,938.63 and 93,989.25

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Solution

The third proportional to 48,938.63 and 93,989.25 is: 180,511.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,938.63 : 93,989.25 = 93,989.25 : x
  2. Step 2: Convert to fraction form
    48,938.63/93,989.25 = 93,989.25/x
  3. Step 3: Cross multiply
    48,938.63x = 93,989.25 × 93,989.25
  4. Step 4: Simplify right side
    48,938.63x = 8,833,979,115.56
  5. Step 5: Solve for x
    x = 8,833,979,115.56/48,938.63
  6. Step 6: Final answer
    x = 180,511.39

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.