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Finding the Third Proportional to 14,948.25 and 31,718.63

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Solution

The third proportional to 14,948.25 and 31,718.63 is: 67,303.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,948.25 : 31,718.63 = 31,718.63 : x
  2. Step 2: Convert to fraction form
    14,948.25/31,718.63 = 31,718.63/x
  3. Step 3: Cross multiply
    14,948.25x = 31,718.63 × 31,718.63
  4. Step 4: Simplify right side
    14,948.25x = 1,006,071,171.89
  5. Step 5: Solve for x
    x = 1,006,071,171.89/14,948.25
  6. Step 6: Final answer
    x = 67,303.61

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.