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Finding the Third Proportional to 10,061 and 21,991.75

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Solution

The third proportional to 10,061 and 21,991.75 is: 48,070.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,061 : 21,991.75 = 21,991.75 : x
  2. Step 2: Convert to fraction form
    10,061/21,991.75 = 21,991.75/x
  3. Step 3: Cross multiply
    10,061x = 21,991.75 × 21,991.75
  4. Step 4: Simplify right side
    10,061x = 483,637,068.06
  5. Step 5: Solve for x
    x = 483,637,068.06/10,061
  6. Step 6: Final answer
    x = 48,070.48

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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.