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Finding the Third Proportional to 5,970.50 and 13,070

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Solution

The third proportional to 5,970.50 and 13,070 is: 28,611.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.50 : 13,070 = 13,070 : x
  2. Step 2: Convert to fraction form
    5,970.50/13,070 = 13,070/x
  3. Step 3: Cross multiply
    5,970.50x = 13,070 × 13,070
  4. Step 4: Simplify right side
    5,970.50x = 170,824,900
  5. Step 5: Solve for x
    x = 170,824,900/5,970.50
  6. Step 6: Final answer
    x = 28,611.49

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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.