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Finding the Third Proportional to 1,848.84 and 4,038.84

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Solution

The third proportional to 1,848.84 and 4,038.84 is: 8,822.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.84 : 4,038.84 = 4,038.84 : x
  2. Step 2: Convert to fraction form
    1,848.84/4,038.84 = 4,038.84/x
  3. Step 3: Cross multiply
    1,848.84x = 4,038.84 × 4,038.84
  4. Step 4: Simplify right side
    1,848.84x = 16,312,258.84
  5. Step 5: Solve for x
    x = 16,312,258.84/1,848.84
  6. Step 6: Final answer
    x = 8,822.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.