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Finding the Third Proportional to 4,703.75 and 11,140.50

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Solution

The third proportional to 4,703.75 and 11,140.50 is: 26,385.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.75 : 11,140.50 = 11,140.50 : x
  2. Step 2: Convert to fraction form
    4,703.75/11,140.50 = 11,140.50/x
  3. Step 3: Cross multiply
    4,703.75x = 11,140.50 × 11,140.50
  4. Step 4: Simplify right side
    4,703.75x = 124,110,740.25
  5. Step 5: Solve for x
    x = 124,110,740.25/4,703.75
  6. Step 6: Final answer
    x = 26,385.49

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.