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Finding the Third Proportional to 1,877.06 and 4,503.94

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Solution

The third proportional to 1,877.06 and 4,503.94 is: 10,807.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.06 : 4,503.94 = 4,503.94 : x
  2. Step 2: Convert to fraction form
    1,877.06/4,503.94 = 4,503.94/x
  3. Step 3: Cross multiply
    1,877.06x = 4,503.94 × 4,503.94
  4. Step 4: Simplify right side
    1,877.06x = 20,285,453.00
  5. Step 5: Solve for x
    x = 20,285,453.00/1,877.06
  6. Step 6: Final answer
    x = 10,807.02

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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.