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Finding the Third Proportional to 29,184.75 and 45,599.63

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Solution

The third proportional to 29,184.75 and 45,599.63 is: 71,247.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,184.75 : 45,599.63 = 45,599.63 : x
  2. Step 2: Convert to fraction form
    29,184.75/45,599.63 = 45,599.63/x
  3. Step 3: Cross multiply
    29,184.75x = 45,599.63 × 45,599.63
  4. Step 4: Simplify right side
    29,184.75x = 2,079,325,800.14
  5. Step 5: Solve for x
    x = 2,079,325,800.14/29,184.75
  6. Step 6: Final answer
    x = 71,247.00

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.