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Finding the Third Proportional to 2,177.63 and 4,763.63

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Solution

The third proportional to 2,177.63 and 4,763.63 is: 10,420.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.63 : 4,763.63 = 4,763.63 : x
  2. Step 2: Convert to fraction form
    2,177.63/4,763.63 = 4,763.63/x
  3. Step 3: Cross multiply
    2,177.63x = 4,763.63 × 4,763.63
  4. Step 4: Simplify right side
    2,177.63x = 22,692,123.14
  5. Step 5: Solve for x
    x = 22,692,123.14/2,177.63
  6. Step 6: Final answer
    x = 10,420.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.