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Finding the Third Proportional to 946.88 and 1,343.06

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Solution

The third proportional to 946.88 and 1,343.06 is: 1,905.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.88 : 1,343.06 = 1,343.06 : x
  2. Step 2: Convert to fraction form
    946.88/1,343.06 = 1,343.06/x
  3. Step 3: Cross multiply
    946.88x = 1,343.06 × 1,343.06
  4. Step 4: Simplify right side
    946.88x = 1,803,816.88
  5. Step 5: Solve for x
    x = 1,803,816.88/946.88
  6. Step 6: Final answer
    x = 1,905.02

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.