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Finding the Third Proportional to 21,111 and 45,570

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Solution

The third proportional to 21,111 and 45,570 is: 98,366.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,111 : 45,570 = 45,570 : x
  2. Step 2: Convert to fraction form
    21,111/45,570 = 45,570/x
  3. Step 3: Cross multiply
    21,111x = 45,570 × 45,570
  4. Step 4: Simplify right side
    21,111x = 2,076,624,900
  5. Step 5: Solve for x
    x = 2,076,624,900/21,111
  6. Step 6: Final answer
    x = 98,366.96

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