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Finding the Third Proportional to 9,748.69 and 21,117.38

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Solution

The third proportional to 9,748.69 and 21,117.38 is: 45,743.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748.69 : 21,117.38 = 21,117.38 : x
  2. Step 2: Convert to fraction form
    9,748.69/21,117.38 = 21,117.38/x
  3. Step 3: Cross multiply
    9,748.69x = 21,117.38 × 21,117.38
  4. Step 4: Simplify right side
    9,748.69x = 445,943,526.89
  5. Step 5: Solve for x
    x = 445,943,526.89/9,748.69
  6. Step 6: Final answer
    x = 45,743.96

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.