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Finding the Third Proportional to 21,029.63 and 45,977.63

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Solution

The third proportional to 21,029.63 and 45,977.63 is: 100,522.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,029.63 : 45,977.63 = 45,977.63 : x
  2. Step 2: Convert to fraction form
    21,029.63/45,977.63 = 45,977.63/x
  3. Step 3: Cross multiply
    21,029.63x = 45,977.63 × 45,977.63
  4. Step 4: Simplify right side
    21,029.63x = 2,113,942,000.64
  5. Step 5: Solve for x
    x = 2,113,942,000.64/21,029.63
  6. Step 6: Final answer
    x = 100,522.10

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