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Finding the Third Proportional to 14,007.63 and 30,139.13

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Solution

The third proportional to 14,007.63 and 30,139.13 is: 64,848.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,007.63 : 30,139.13 = 30,139.13 : x
  2. Step 2: Convert to fraction form
    14,007.63/30,139.13 = 30,139.13/x
  3. Step 3: Cross multiply
    14,007.63x = 30,139.13 × 30,139.13
  4. Step 4: Simplify right side
    14,007.63x = 908,366,855.77
  5. Step 5: Solve for x
    x = 908,366,855.77/14,007.63
  6. Step 6: Final answer
    x = 64,848.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.