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Finding the Third Proportional to 15,669 and 21,487.50

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Solution

The third proportional to 15,669 and 21,487.50 is: 29,466.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,669 : 21,487.50 = 21,487.50 : x
  2. Step 2: Convert to fraction form
    15,669/21,487.50 = 21,487.50/x
  3. Step 3: Cross multiply
    15,669x = 21,487.50 × 21,487.50
  4. Step 4: Simplify right side
    15,669x = 461,712,656.25
  5. Step 5: Solve for x
    x = 461,712,656.25/15,669
  6. Step 6: Final answer
    x = 29,466.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.