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Finding the Third Proportional to 8,957.63 and 19,471.13

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Solution

The third proportional to 8,957.63 and 19,471.13 is: 42,324.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,957.63 : 19,471.13 = 19,471.13 : x
  2. Step 2: Convert to fraction form
    8,957.63/19,471.13 = 19,471.13/x
  3. Step 3: Cross multiply
    8,957.63x = 19,471.13 × 19,471.13
  4. Step 4: Simplify right side
    8,957.63x = 379,124,708.77
  5. Step 5: Solve for x
    x = 379,124,708.77/8,957.63
  6. Step 6: Final answer
    x = 42,324.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.