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Finding the Third Proportional to 24,576 and 52,798.50

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Solution

The third proportional to 24,576 and 52,798.50 is: 113,431.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,576 : 52,798.50 = 52,798.50 : x
  2. Step 2: Convert to fraction form
    24,576/52,798.50 = 52,798.50/x
  3. Step 3: Cross multiply
    24,576x = 52,798.50 × 52,798.50
  4. Step 4: Simplify right side
    24,576x = 2,787,681,602.25
  5. Step 5: Solve for x
    x = 2,787,681,602.25/24,576
  6. Step 6: Final answer
    x = 113,431.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.