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Finding the Third Proportional to 12,547.22 and 18,349.31

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Solution

The third proportional to 12,547.22 and 18,349.31 is: 26,834.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,547.22 : 18,349.31 = 18,349.31 : x
  2. Step 2: Convert to fraction form
    12,547.22/18,349.31 = 18,349.31/x
  3. Step 3: Cross multiply
    12,547.22x = 18,349.31 × 18,349.31
  4. Step 4: Simplify right side
    12,547.22x = 336,697,269.22
  5. Step 5: Solve for x
    x = 336,697,269.22/12,547.22
  6. Step 6: Final answer
    x = 26,834.41

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.