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Finding the Third Proportional to 58,484.50 and 83,635

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Solution

The third proportional to 58,484.50 and 83,635 is: 119,601.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,484.50 : 83,635 = 83,635 : x
  2. Step 2: Convert to fraction form
    58,484.50/83,635 = 83,635/x
  3. Step 3: Cross multiply
    58,484.50x = 83,635 × 83,635
  4. Step 4: Simplify right side
    58,484.50x = 6,994,813,225
  5. Step 5: Solve for x
    x = 6,994,813,225/58,484.50
  6. Step 6: Final answer
    x = 119,601.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.