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Finding the Third Proportional to 21,397.13 and 32,161.50

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Solution

The third proportional to 21,397.13 and 32,161.50 is: 48,341.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,397.13 : 32,161.50 = 32,161.50 : x
  2. Step 2: Convert to fraction form
    21,397.13/32,161.50 = 32,161.50/x
  3. Step 3: Cross multiply
    21,397.13x = 32,161.50 × 32,161.50
  4. Step 4: Simplify right side
    21,397.13x = 1,034,362,082.25
  5. Step 5: Solve for x
    x = 1,034,362,082.25/21,397.13
  6. Step 6: Final answer
    x = 48,341.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.