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Finding the Third Proportional to 1,463.70 and 2,972.95

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Solution

The third proportional to 1,463.70 and 2,972.95 is: 6,038.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.70 : 2,972.95 = 2,972.95 : x
  2. Step 2: Convert to fraction form
    1,463.70/2,972.95 = 2,972.95/x
  3. Step 3: Cross multiply
    1,463.70x = 2,972.95 × 2,972.95
  4. Step 4: Simplify right side
    1,463.70x = 8,838,450.28
  5. Step 5: Solve for x
    x = 8,838,450.28/1,463.70
  6. Step 6: Final answer
    x = 6,038.45

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.