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Finding the Third Proportional to 48,980.63 and 73,280.63

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Solution

The third proportional to 48,980.63 and 73,280.63 is: 109,636.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,980.63 : 73,280.63 = 73,280.63 : x
  2. Step 2: Convert to fraction form
    48,980.63/73,280.63 = 73,280.63/x
  3. Step 3: Cross multiply
    48,980.63x = 73,280.63 × 73,280.63
  4. Step 4: Simplify right side
    48,980.63x = 5,370,050,000.39
  5. Step 5: Solve for x
    x = 5,370,050,000.39/48,980.63
  6. Step 6: Final answer
    x = 109,636.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.