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Finding the Third Proportional to 43,022 and 57,810

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Solution

The third proportional to 43,022 and 57,810 is: 77,681.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,022 : 57,810 = 57,810 : x
  2. Step 2: Convert to fraction form
    43,022/57,810 = 57,810/x
  3. Step 3: Cross multiply
    43,022x = 57,810 × 57,810
  4. Step 4: Simplify right side
    43,022x = 3,341,996,100
  5. Step 5: Solve for x
    x = 3,341,996,100/43,022
  6. Step 6: Final answer
    x = 77,681.10

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.