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Finding the Third Proportional to 5,888.95 and 11,948.77

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Solution

The third proportional to 5,888.95 and 11,948.77 is: 24,244.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,888.95 : 11,948.77 = 11,948.77 : x
  2. Step 2: Convert to fraction form
    5,888.95/11,948.77 = 11,948.77/x
  3. Step 3: Cross multiply
    5,888.95x = 11,948.77 × 11,948.77
  4. Step 4: Simplify right side
    5,888.95x = 142,772,999.96
  5. Step 5: Solve for x
    x = 142,772,999.96/5,888.95
  6. Step 6: Final answer
    x = 24,244.21

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.