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Finding the Third Proportional to 35,520.75 and 53,038

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Solution

The third proportional to 35,520.75 and 53,038 is: 79,193.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,520.75 : 53,038 = 53,038 : x
  2. Step 2: Convert to fraction form
    35,520.75/53,038 = 53,038/x
  3. Step 3: Cross multiply
    35,520.75x = 53,038 × 53,038
  4. Step 4: Simplify right side
    35,520.75x = 2,813,029,444
  5. Step 5: Solve for x
    x = 2,813,029,444/35,520.75
  6. Step 6: Final answer
    x = 79,193.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.