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Finding the Third Proportional to 13,551 and 21,637.50

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Solution

The third proportional to 13,551 and 21,637.50 is: 34,549.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,551 : 21,637.50 = 21,637.50 : x
  2. Step 2: Convert to fraction form
    13,551/21,637.50 = 21,637.50/x
  3. Step 3: Cross multiply
    13,551x = 21,637.50 × 21,637.50
  4. Step 4: Simplify right side
    13,551x = 468,181,406.25
  5. Step 5: Solve for x
    x = 468,181,406.25/13,551
  6. Step 6: Final answer
    x = 34,549.58

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.