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Finding the Third Proportional to 14,048.65 and 30,101.15

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Solution

The third proportional to 14,048.65 and 30,101.15 is: 64,495.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,048.65 : 30,101.15 = 30,101.15 : x
  2. Step 2: Convert to fraction form
    14,048.65/30,101.15 = 30,101.15/x
  3. Step 3: Cross multiply
    14,048.65x = 30,101.15 × 30,101.15
  4. Step 4: Simplify right side
    14,048.65x = 906,079,254.84
  5. Step 5: Solve for x
    x = 906,079,254.84/14,048.65
  6. Step 6: Final answer
    x = 64,495.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.