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Finding the Third Proportional to 14,459.63 and 21,871.78

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Solution

The third proportional to 14,459.63 and 21,871.78 is: 33,083.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,459.63 : 21,871.78 = 21,871.78 : x
  2. Step 2: Convert to fraction form
    14,459.63/21,871.78 = 21,871.78/x
  3. Step 3: Cross multiply
    14,459.63x = 21,871.78 × 21,871.78
  4. Step 4: Simplify right side
    14,459.63x = 478,374,815.05
  5. Step 5: Solve for x
    x = 478,374,815.05/14,459.63
  6. Step 6: Final answer
    x = 33,083.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.