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Finding the Third Proportional to 10,045.90 and 21,821.91

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Solution

The third proportional to 10,045.90 and 21,821.91 is: 47,401.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.90 : 21,821.91 = 21,821.91 : x
  2. Step 2: Convert to fraction form
    10,045.90/21,821.91 = 21,821.91/x
  3. Step 3: Cross multiply
    10,045.90x = 21,821.91 × 21,821.91
  4. Step 4: Simplify right side
    10,045.90x = 476,195,592.38
  5. Step 5: Solve for x
    x = 476,195,592.38/10,045.90
  6. Step 6: Final answer
    x = 47,401.99

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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.