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Finding the Third Proportional to 1,868.48 and 4,095.98

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Solution

The third proportional to 1,868.48 and 4,095.98 is: 8,978.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868.48 : 4,095.98 = 4,095.98 : x
  2. Step 2: Convert to fraction form
    1,868.48/4,095.98 = 4,095.98/x
  3. Step 3: Cross multiply
    1,868.48x = 4,095.98 × 4,095.98
  4. Step 4: Simplify right side
    1,868.48x = 16,777,088.00
  5. Step 5: Solve for x
    x = 16,777,088.00/1,868.48
  6. Step 6: Final answer
    x = 8,978.98

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.