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Finding the Third Proportional to 15,416 and 36,280

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Solution

The third proportional to 15,416 and 36,280 is: 85,381.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,416 : 36,280 = 36,280 : x
  2. Step 2: Convert to fraction form
    15,416/36,280 = 36,280/x
  3. Step 3: Cross multiply
    15,416x = 36,280 × 36,280
  4. Step 4: Simplify right side
    15,416x = 1,316,238,400
  5. Step 5: Solve for x
    x = 1,316,238,400/15,416
  6. Step 6: Final answer
    x = 85,381.32

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.