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Finding the Third Proportional to 35,812.13 and 52,422.19

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Solution

The third proportional to 35,812.13 and 52,422.19 is: 76,736.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,812.13 : 52,422.19 = 52,422.19 : x
  2. Step 2: Convert to fraction form
    35,812.13/52,422.19 = 52,422.19/x
  3. Step 3: Cross multiply
    35,812.13x = 52,422.19 × 52,422.19
  4. Step 4: Simplify right side
    35,812.13x = 2,748,085,742.29
  5. Step 5: Solve for x
    x = 2,748,085,742.29/35,812.13
  6. Step 6: Final answer
    x = 76,736.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.