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Finding the Third Proportional to 58,022.50 and 78,285

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Solution

The third proportional to 58,022.50 and 78,285 is: 105,623.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,022.50 : 78,285 = 78,285 : x
  2. Step 2: Convert to fraction form
    58,022.50/78,285 = 78,285/x
  3. Step 3: Cross multiply
    58,022.50x = 78,285 × 78,285
  4. Step 4: Simplify right side
    58,022.50x = 6,128,541,225
  5. Step 5: Solve for x
    x = 6,128,541,225/58,022.50
  6. Step 6: Final answer
    x = 105,623.53

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.