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Finding the Third Proportional to 34,020 and 53,821.13

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Solution

The third proportional to 34,020 and 53,821.13 is: 85,147.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,020 : 53,821.13 = 53,821.13 : x
  2. Step 2: Convert to fraction form
    34,020/53,821.13 = 53,821.13/x
  3. Step 3: Cross multiply
    34,020x = 53,821.13 × 53,821.13
  4. Step 4: Simplify right side
    34,020x = 2,896,713,496.27
  5. Step 5: Solve for x
    x = 2,896,713,496.27/34,020
  6. Step 6: Final answer
    x = 85,147.37

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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.