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Finding the Third Proportional to 24,731.56 and 58,322.94

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Solution

The third proportional to 24,731.56 and 58,322.94 is: 137,539.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,731.56 : 58,322.94 = 58,322.94 : x
  2. Step 2: Convert to fraction form
    24,731.56/58,322.94 = 58,322.94/x
  3. Step 3: Cross multiply
    24,731.56x = 58,322.94 × 58,322.94
  4. Step 4: Simplify right side
    24,731.56x = 3,401,565,038.63
  5. Step 5: Solve for x
    x = 3,401,565,038.63/24,731.56
  6. Step 6: Final answer
    x = 137,539.43

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.