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Finding the Third Proportional to 5,913 and 7,890.19

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Solution

The third proportional to 5,913 and 7,890.19 is: 10,528.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,913 : 7,890.19 = 7,890.19 : x
  2. Step 2: Convert to fraction form
    5,913/7,890.19 = 7,890.19/x
  3. Step 3: Cross multiply
    5,913x = 7,890.19 × 7,890.19
  4. Step 4: Simplify right side
    5,913x = 62,255,058.79
  5. Step 5: Solve for x
    x = 62,255,058.79/5,913
  6. Step 6: Final answer
    x = 10,528.51

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.