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Finding the Third Proportional to 848.95 and 1,853.02

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Solution

The third proportional to 848.95 and 1,853.02 is: 4,044.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.95 : 1,853.02 = 1,853.02 : x
  2. Step 2: Convert to fraction form
    848.95/1,853.02 = 1,853.02/x
  3. Step 3: Cross multiply
    848.95x = 1,853.02 × 1,853.02
  4. Step 4: Simplify right side
    848.95x = 3,433,666.91
  5. Step 5: Solve for x
    x = 3,433,666.91/848.95
  6. Step 6: Final answer
    x = 4,044.59

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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.