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Finding the Third Proportional to 9,968.06 and 14,506.59

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Solution

The third proportional to 9,968.06 and 14,506.59 is: 21,111.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968.06 : 14,506.59 = 14,506.59 : x
  2. Step 2: Convert to fraction form
    9,968.06/14,506.59 = 14,506.59/x
  3. Step 3: Cross multiply
    9,968.06x = 14,506.59 × 14,506.59
  4. Step 4: Simplify right side
    9,968.06x = 210,441,262.23
  5. Step 5: Solve for x
    x = 210,441,262.23/9,968.06
  6. Step 6: Final answer
    x = 21,111.55

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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.