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Finding the Third Proportional to 1,333.55 and 1,966.08

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Solution

The third proportional to 1,333.55 and 1,966.08 is: 2,898.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.55 : 1,966.08 = 1,966.08 : x
  2. Step 2: Convert to fraction form
    1,333.55/1,966.08 = 1,966.08/x
  3. Step 3: Cross multiply
    1,333.55x = 1,966.08 × 1,966.08
  4. Step 4: Simplify right side
    1,333.55x = 3,865,463.19
  5. Step 5: Solve for x
    x = 3,865,463.19/1,333.55
  6. Step 6: Final answer
    x = 2,898.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.