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Finding the Third Proportional to 28,315 and 61,035

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Solution

The third proportional to 28,315 and 61,035 is: 131,565.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,315 : 61,035 = 61,035 : x
  2. Step 2: Convert to fraction form
    28,315/61,035 = 61,035/x
  3. Step 3: Cross multiply
    28,315x = 61,035 × 61,035
  4. Step 4: Simplify right side
    28,315x = 3,725,271,225
  5. Step 5: Solve for x
    x = 3,725,271,225/28,315
  6. Step 6: Final answer
    x = 131,565.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.