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Finding the Third Proportional to 2,156.63 and 4,654.97

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Solution

The third proportional to 2,156.63 and 4,654.97 is: 10,047.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.63 : 4,654.97 = 4,654.97 : x
  2. Step 2: Convert to fraction form
    2,156.63/4,654.97 = 4,654.97/x
  3. Step 3: Cross multiply
    2,156.63x = 4,654.97 × 4,654.97
  4. Step 4: Simplify right side
    2,156.63x = 21,668,734.06
  5. Step 5: Solve for x
    x = 21,668,734.06/2,156.63
  6. Step 6: Final answer
    x = 10,047.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.