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Finding the Third Proportional to 4,983.75 and 10,483.88

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Solution

The third proportional to 4,983.75 and 10,483.88 is: 22,054.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,983.75 : 10,483.88 = 10,483.88 : x
  2. Step 2: Convert to fraction form
    4,983.75/10,483.88 = 10,483.88/x
  3. Step 3: Cross multiply
    4,983.75x = 10,483.88 × 10,483.88
  4. Step 4: Simplify right side
    4,983.75x = 109,911,635.02
  5. Step 5: Solve for x
    x = 109,911,635.02/4,983.75
  6. Step 6: Final answer
    x = 22,054.00

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.