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Finding the Third Proportional to 1,927.55 and 4,630.92

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Solution

The third proportional to 1,927.55 and 4,630.92 is: 11,125.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.55 : 4,630.92 = 4,630.92 : x
  2. Step 2: Convert to fraction form
    1,927.55/4,630.92 = 4,630.92/x
  3. Step 3: Cross multiply
    1,927.55x = 4,630.92 × 4,630.92
  4. Step 4: Simplify right side
    1,927.55x = 21,445,437.41
  5. Step 5: Solve for x
    x = 21,445,437.41/1,927.55
  6. Step 6: Final answer
    x = 11,125.77

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.