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Finding the Third Proportional to 2,970 and 4,471.88

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Solution

The third proportional to 2,970 and 4,471.88 is: 6,733.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970 : 4,471.88 = 4,471.88 : x
  2. Step 2: Convert to fraction form
    2,970/4,471.88 = 4,471.88/x
  3. Step 3: Cross multiply
    2,970x = 4,471.88 × 4,471.88
  4. Step 4: Simplify right side
    2,970x = 19,997,666.02
  5. Step 5: Solve for x
    x = 19,997,666.02/2,970
  6. Step 6: Final answer
    x = 6,733.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.