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Finding the Third Proportional to 4,712 and 7,458.50

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Solution

The third proportional to 4,712 and 7,458.50 is: 11,805.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712 : 7,458.50 = 7,458.50 : x
  2. Step 2: Convert to fraction form
    4,712/7,458.50 = 7,458.50/x
  3. Step 3: Cross multiply
    4,712x = 7,458.50 × 7,458.50
  4. Step 4: Simplify right side
    4,712x = 55,629,222.25
  5. Step 5: Solve for x
    x = 55,629,222.25/4,712
  6. Step 6: Final answer
    x = 11,805.86

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.