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Finding the Third Proportional to 53,423.50 and 83,052

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Solution

The third proportional to 53,423.50 and 83,052 is: 129,112.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,423.50 : 83,052 = 83,052 : x
  2. Step 2: Convert to fraction form
    53,423.50/83,052 = 83,052/x
  3. Step 3: Cross multiply
    53,423.50x = 83,052 × 83,052
  4. Step 4: Simplify right side
    53,423.50x = 6,897,634,704
  5. Step 5: Solve for x
    x = 6,897,634,704/53,423.50
  6. Step 6: Final answer
    x = 129,112.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.