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Finding the Third Proportional to 42,409.50 and 62,318

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Solution

The third proportional to 42,409.50 and 62,318 is: 91,572.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,409.50 : 62,318 = 62,318 : x
  2. Step 2: Convert to fraction form
    42,409.50/62,318 = 62,318/x
  3. Step 3: Cross multiply
    42,409.50x = 62,318 × 62,318
  4. Step 4: Simplify right side
    42,409.50x = 3,883,533,124
  5. Step 5: Solve for x
    x = 3,883,533,124/42,409.50
  6. Step 6: Final answer
    x = 91,572.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.