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Finding the Third Proportional to 39,400.50 and 57,804

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Solution

The third proportional to 39,400.50 and 57,804 is: 84,803.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,400.50 : 57,804 = 57,804 : x
  2. Step 2: Convert to fraction form
    39,400.50/57,804 = 57,804/x
  3. Step 3: Cross multiply
    39,400.50x = 57,804 × 57,804
  4. Step 4: Simplify right side
    39,400.50x = 3,341,302,416
  5. Step 5: Solve for x
    x = 3,341,302,416/39,400.50
  6. Step 6: Final answer
    x = 84,803.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.