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Finding the Third Proportional to 57,629.63 and 89,000.44

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Solution

The third proportional to 57,629.63 and 89,000.44 is: 137,448.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,629.63 : 89,000.44 = 89,000.44 : x
  2. Step 2: Convert to fraction form
    57,629.63/89,000.44 = 89,000.44/x
  3. Step 3: Cross multiply
    57,629.63x = 89,000.44 × 89,000.44
  4. Step 4: Simplify right side
    57,629.63x = 7,921,077,875.19
  5. Step 5: Solve for x
    x = 7,921,077,875.19/57,629.63
  6. Step 6: Final answer
    x = 137,448.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.