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Finding the Third Proportional to 11,475.11 and 24,328.00

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Solution

The third proportional to 11,475.11 and 24,328.00 is: 51,577.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,475.11 : 24,328.00 = 24,328.00 : x
  2. Step 2: Convert to fraction form
    11,475.11/24,328.00 = 24,328.00/x
  3. Step 3: Cross multiply
    11,475.11x = 24,328.00 × 24,328.00
  4. Step 4: Simplify right side
    11,475.11x = 591,851,679.03
  5. Step 5: Solve for x
    x = 591,851,679.03/11,475.11
  6. Step 6: Final answer
    x = 51,577.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.