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Finding the Third Proportional to 50,672.81 and 74,483.44

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Solution

The third proportional to 50,672.81 and 74,483.44 is: 109,482.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,672.81 : 74,483.44 = 74,483.44 : x
  2. Step 2: Convert to fraction form
    50,672.81/74,483.44 = 74,483.44/x
  3. Step 3: Cross multiply
    50,672.81x = 74,483.44 × 74,483.44
  4. Step 4: Simplify right side
    50,672.81x = 5,547,782,461.82
  5. Step 5: Solve for x
    x = 5,547,782,461.82/50,672.81
  6. Step 6: Final answer
    x = 109,482.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.