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Finding the Third Proportional to 42,795.50 and 64,201

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Solution

The third proportional to 42,795.50 and 64,201 is: 96,313.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,795.50 : 64,201 = 64,201 : x
  2. Step 2: Convert to fraction form
    42,795.50/64,201 = 64,201/x
  3. Step 3: Cross multiply
    42,795.50x = 64,201 × 64,201
  4. Step 4: Simplify right side
    42,795.50x = 4,121,768,401
  5. Step 5: Solve for x
    x = 4,121,768,401/42,795.50
  6. Step 6: Final answer
    x = 96,313.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.