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Finding the Third Proportional to 10,547.44 and 14,834.25

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Solution

The third proportional to 10,547.44 and 14,834.25 is: 20,863.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,547.44 : 14,834.25 = 14,834.25 : x
  2. Step 2: Convert to fraction form
    10,547.44/14,834.25 = 14,834.25/x
  3. Step 3: Cross multiply
    10,547.44x = 14,834.25 × 14,834.25
  4. Step 4: Simplify right side
    10,547.44x = 220,054,973.06
  5. Step 5: Solve for x
    x = 220,054,973.06/10,547.44
  6. Step 6: Final answer
    x = 20,863.36

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.