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Finding the Third Proportional to 52,039.13 and 82,323

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Solution

The third proportional to 52,039.13 and 82,323 is: 130,230.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,039.13 : 82,323 = 82,323 : x
  2. Step 2: Convert to fraction form
    52,039.13/82,323 = 82,323/x
  3. Step 3: Cross multiply
    52,039.13x = 82,323 × 82,323
  4. Step 4: Simplify right side
    52,039.13x = 6,777,076,329
  5. Step 5: Solve for x
    x = 6,777,076,329/52,039.13
  6. Step 6: Final answer
    x = 130,230.41

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.