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Finding the Third Proportional to 21,111 and 45,558

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Solution

The third proportional to 21,111 and 45,558 is: 98,315.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,111 : 45,558 = 45,558 : x
  2. Step 2: Convert to fraction form
    21,111/45,558 = 45,558/x
  3. Step 3: Cross multiply
    21,111x = 45,558 × 45,558
  4. Step 4: Simplify right side
    21,111x = 2,075,531,364
  5. Step 5: Solve for x
    x = 2,075,531,364/21,111
  6. Step 6: Final answer
    x = 98,315.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.