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Finding the Third Proportional to 10,130.06 and 13,329.56

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Solution

The third proportional to 10,130.06 and 13,329.56 is: 17,539.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,130.06 : 13,329.56 = 13,329.56 : x
  2. Step 2: Convert to fraction form
    10,130.06/13,329.56 = 13,329.56/x
  3. Step 3: Cross multiply
    10,130.06x = 13,329.56 × 13,329.56
  4. Step 4: Simplify right side
    10,130.06x = 177,677,236.44
  5. Step 5: Solve for x
    x = 177,677,236.44/10,130.06
  6. Step 6: Final answer
    x = 17,539.60

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.