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Finding the Third Proportional to 21,205 and 33,572

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Solution

The third proportional to 21,205 and 33,572 is: 53,151.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,205 : 33,572 = 33,572 : x
  2. Step 2: Convert to fraction form
    21,205/33,572 = 33,572/x
  3. Step 3: Cross multiply
    21,205x = 33,572 × 33,572
  4. Step 4: Simplify right side
    21,205x = 1,127,079,184
  5. Step 5: Solve for x
    x = 1,127,079,184/21,205
  6. Step 6: Final answer
    x = 53,151.58

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.