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Finding the Third Proportional to 916.88 and 1,924.88

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Solution

The third proportional to 916.88 and 1,924.88 is: 4,041.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.88 : 1,924.88 = 1,924.88 : x
  2. Step 2: Convert to fraction form
    916.88/1,924.88 = 1,924.88/x
  3. Step 3: Cross multiply
    916.88x = 1,924.88 × 1,924.88
  4. Step 4: Simplify right side
    916.88x = 3,705,143.77
  5. Step 5: Solve for x
    x = 3,705,143.77/916.88
  6. Step 6: Final answer
    x = 4,041.06

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.