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Finding the Third Proportional to 44,020 and 59,810

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Solution

The third proportional to 44,020 and 59,810 is: 81,263.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,020 : 59,810 = 59,810 : x
  2. Step 2: Convert to fraction form
    44,020/59,810 = 59,810/x
  3. Step 3: Cross multiply
    44,020x = 59,810 × 59,810
  4. Step 4: Simplify right side
    44,020x = 3,577,236,100
  5. Step 5: Solve for x
    x = 3,577,236,100/44,020
  6. Step 6: Final answer
    x = 81,263.88

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.