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Finding the Third Proportional to 14,455.97 and 31,271.06

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Solution

The third proportional to 14,455.97 and 31,271.06 is: 67,645.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,455.97 : 31,271.06 = 31,271.06 : x
  2. Step 2: Convert to fraction form
    14,455.97/31,271.06 = 31,271.06/x
  3. Step 3: Cross multiply
    14,455.97x = 31,271.06 × 31,271.06
  4. Step 4: Simplify right side
    14,455.97x = 977,879,349.88
  5. Step 5: Solve for x
    x = 977,879,349.88/14,455.97
  6. Step 6: Final answer
    x = 67,645.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.