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Finding the Third Proportional to 21,324 and 29,827.50

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Solution

The third proportional to 21,324 and 29,827.50 is: 41,721.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,324 : 29,827.50 = 29,827.50 : x
  2. Step 2: Convert to fraction form
    21,324/29,827.50 = 29,827.50/x
  3. Step 3: Cross multiply
    21,324x = 29,827.50 × 29,827.50
  4. Step 4: Simplify right side
    21,324x = 889,679,756.25
  5. Step 5: Solve for x
    x = 889,679,756.25/21,324
  6. Step 6: Final answer
    x = 41,721.99

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.