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Finding the Third Proportional to 9,807.56 and 24,182.94

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Solution

The third proportional to 9,807.56 and 24,182.94 is: 59,628.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.56 : 24,182.94 = 24,182.94 : x
  2. Step 2: Convert to fraction form
    9,807.56/24,182.94 = 24,182.94/x
  3. Step 3: Cross multiply
    9,807.56x = 24,182.94 × 24,182.94
  4. Step 4: Simplify right side
    9,807.56x = 584,814,466.13
  5. Step 5: Solve for x
    x = 584,814,466.13/9,807.56
  6. Step 6: Final answer
    x = 59,628.93

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.