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Finding the Third Proportional to 21,083.91 and 45,294.47

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Solution

The third proportional to 21,083.91 and 45,294.47 is: 97,305.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,083.91 : 45,294.47 = 45,294.47 : x
  2. Step 2: Convert to fraction form
    21,083.91/45,294.47 = 45,294.47/x
  3. Step 3: Cross multiply
    21,083.91x = 45,294.47 × 45,294.47
  4. Step 4: Simplify right side
    21,083.91x = 2,051,588,899.34
  5. Step 5: Solve for x
    x = 2,051,588,899.34/21,083.91
  6. Step 6: Final answer
    x = 97,305.92

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.