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Finding the Third Proportional to 36,429 and 57,925.50

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Solution

The third proportional to 36,429 and 57,925.50 is: 92,106.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,429 : 57,925.50 = 57,925.50 : x
  2. Step 2: Convert to fraction form
    36,429/57,925.50 = 57,925.50/x
  3. Step 3: Cross multiply
    36,429x = 57,925.50 × 57,925.50
  4. Step 4: Simplify right side
    36,429x = 3,355,363,550.25
  5. Step 5: Solve for x
    x = 3,355,363,550.25/36,429
  6. Step 6: Final answer
    x = 92,106.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.