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Finding the Third Proportional to 21,899.63 and 48,038.25

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Solution

The third proportional to 21,899.63 and 48,038.25 is: 105,375.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,899.63 : 48,038.25 = 48,038.25 : x
  2. Step 2: Convert to fraction form
    21,899.63/48,038.25 = 48,038.25/x
  3. Step 3: Cross multiply
    21,899.63x = 48,038.25 × 48,038.25
  4. Step 4: Simplify right side
    21,899.63x = 2,307,673,463.06
  5. Step 5: Solve for x
    x = 2,307,673,463.06/21,899.63
  6. Step 6: Final answer
    x = 105,375.02

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.