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Finding the Third Proportional to 14,746.22 and 31,952.39

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Solution

The third proportional to 14,746.22 and 31,952.39 is: 69,235.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,746.22 : 31,952.39 = 31,952.39 : x
  2. Step 2: Convert to fraction form
    14,746.22/31,952.39 = 31,952.39/x
  3. Step 3: Cross multiply
    14,746.22x = 31,952.39 × 31,952.39
  4. Step 4: Simplify right side
    14,746.22x = 1,020,955,266.65
  5. Step 5: Solve for x
    x = 1,020,955,266.65/14,746.22
  6. Step 6: Final answer
    x = 69,235.06

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.