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Finding the Third Proportional to 14,924.25 and 32,718.94

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Solution

The third proportional to 14,924.25 and 32,718.94 is: 71,730.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,924.25 : 32,718.94 = 32,718.94 : x
  2. Step 2: Convert to fraction form
    14,924.25/32,718.94 = 32,718.94/x
  3. Step 3: Cross multiply
    14,924.25x = 32,718.94 × 32,718.94
  4. Step 4: Simplify right side
    14,924.25x = 1,070,528,871.13
  5. Step 5: Solve for x
    x = 1,070,528,871.13/14,924.25
  6. Step 6: Final answer
    x = 71,730.83

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.