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Finding the Third Proportional to 49,590 and 74,385

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Solution

The third proportional to 49,590 and 74,385 is: 111,577.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,590 : 74,385 = 74,385 : x
  2. Step 2: Convert to fraction form
    49,590/74,385 = 74,385/x
  3. Step 3: Cross multiply
    49,590x = 74,385 × 74,385
  4. Step 4: Simplify right side
    49,590x = 5,533,128,225
  5. Step 5: Solve for x
    x = 5,533,128,225/49,590
  6. Step 6: Final answer
    x = 111,577.50

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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.