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Finding the Third Proportional to 35,437.50 and 72,513

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Solution

The third proportional to 35,437.50 and 72,513 is: 148,377.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,437.50 : 72,513 = 72,513 : x
  2. Step 2: Convert to fraction form
    35,437.50/72,513 = 72,513/x
  3. Step 3: Cross multiply
    35,437.50x = 72,513 × 72,513
  4. Step 4: Simplify right side
    35,437.50x = 5,258,135,169
  5. Step 5: Solve for x
    x = 5,258,135,169/35,437.50
  6. Step 6: Final answer
    x = 148,377.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.