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Finding the Third Proportional to 28,364 and 60,315

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Solution

The third proportional to 28,364 and 60,315 is: 128,257.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,364 : 60,315 = 60,315 : x
  2. Step 2: Convert to fraction form
    28,364/60,315 = 60,315/x
  3. Step 3: Cross multiply
    28,364x = 60,315 × 60,315
  4. Step 4: Simplify right side
    28,364x = 3,637,899,225
  5. Step 5: Solve for x
    x = 3,637,899,225/28,364
  6. Step 6: Final answer
    x = 128,257.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.