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Finding the Third Proportional to 14,852.25 and 22,421.25

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Solution

The third proportional to 14,852.25 and 22,421.25 is: 33,847.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,852.25 : 22,421.25 = 22,421.25 : x
  2. Step 2: Convert to fraction form
    14,852.25/22,421.25 = 22,421.25/x
  3. Step 3: Cross multiply
    14,852.25x = 22,421.25 × 22,421.25
  4. Step 4: Simplify right side
    14,852.25x = 502,712,451.56
  5. Step 5: Solve for x
    x = 502,712,451.56/14,852.25
  6. Step 6: Final answer
    x = 33,847.56

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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.