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Finding the Third Proportional to 7,358 and 16,083

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Solution

The third proportional to 7,358 and 16,083 is: 35,153.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,358 : 16,083 = 16,083 : x
  2. Step 2: Convert to fraction form
    7,358/16,083 = 16,083/x
  3. Step 3: Cross multiply
    7,358x = 16,083 × 16,083
  4. Step 4: Simplify right side
    7,358x = 258,662,889
  5. Step 5: Solve for x
    x = 258,662,889/7,358
  6. Step 6: Final answer
    x = 35,153.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.