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Finding the Third Proportional to 14,587.50 and 22,053.75

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Solution

The third proportional to 14,587.50 and 22,053.75 is: 33,341.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,587.50 : 22,053.75 = 22,053.75 : x
  2. Step 2: Convert to fraction form
    14,587.50/22,053.75 = 22,053.75/x
  3. Step 3: Cross multiply
    14,587.50x = 22,053.75 × 22,053.75
  4. Step 4: Simplify right side
    14,587.50x = 486,367,889.06
  5. Step 5: Solve for x
    x = 486,367,889.06/14,587.50
  6. Step 6: Final answer
    x = 33,341.41

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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.