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Finding the Third Proportional to 49,810.50 and 74,010.38

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Solution

The third proportional to 49,810.50 and 74,010.38 is: 109,967.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,810.50 : 74,010.38 = 74,010.38 : x
  2. Step 2: Convert to fraction form
    49,810.50/74,010.38 = 74,010.38/x
  3. Step 3: Cross multiply
    49,810.50x = 74,010.38 × 74,010.38
  4. Step 4: Simplify right side
    49,810.50x = 5,477,535,607.64
  5. Step 5: Solve for x
    x = 5,477,535,607.64/49,810.50
  6. Step 6: Final answer
    x = 109,967.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.