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Finding the Third Proportional to 39,384 and 59,804.13

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Solution

The third proportional to 39,384 and 59,804.13 is: 90,811.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,384 : 59,804.13 = 59,804.13 : x
  2. Step 2: Convert to fraction form
    39,384/59,804.13 = 59,804.13/x
  3. Step 3: Cross multiply
    39,384x = 59,804.13 × 59,804.13
  4. Step 4: Simplify right side
    39,384x = 3,576,533,367.02
  5. Step 5: Solve for x
    x = 3,576,533,367.02/39,384
  6. Step 6: Final answer
    x = 90,811.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.