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Finding the Third Proportional to 39,904.73 and 59,511

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Solution

The third proportional to 39,904.73 and 59,511 is: 88,750.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,904.73 : 59,511 = 59,511 : x
  2. Step 2: Convert to fraction form
    39,904.73/59,511 = 59,511/x
  3. Step 3: Cross multiply
    39,904.73x = 59,511 × 59,511
  4. Step 4: Simplify right side
    39,904.73x = 3,541,559,121
  5. Step 5: Solve for x
    x = 3,541,559,121/39,904.73
  6. Step 6: Final answer
    x = 88,750.35

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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.