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Finding the Third Proportional to 7,016.63 and 14,428.13

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Solution

The third proportional to 7,016.63 and 14,428.13 is: 29,668.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,016.63 : 14,428.13 = 14,428.13 : x
  2. Step 2: Convert to fraction form
    7,016.63/14,428.13 = 14,428.13/x
  3. Step 3: Cross multiply
    7,016.63x = 14,428.13 × 14,428.13
  4. Step 4: Simplify right side
    7,016.63x = 208,170,791.02
  5. Step 5: Solve for x
    x = 208,170,791.02/7,016.63
  6. Step 6: Final answer
    x = 29,668.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.