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Finding the Third Proportional to 7,009.50 and 14,518.50

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Solution

The third proportional to 7,009.50 and 14,518.50 is: 30,071.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.50 : 14,518.50 = 14,518.50 : x
  2. Step 2: Convert to fraction form
    7,009.50/14,518.50 = 14,518.50/x
  3. Step 3: Cross multiply
    7,009.50x = 14,518.50 × 14,518.50
  4. Step 4: Simplify right side
    7,009.50x = 210,786,842.25
  5. Step 5: Solve for x
    x = 210,786,842.25/7,009.50
  6. Step 6: Final answer
    x = 30,071.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.