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Finding the Third Proportional to 34,730 and 53,745

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Solution

The third proportional to 34,730 and 53,745 is: 83,170.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,730 : 53,745 = 53,745 : x
  2. Step 2: Convert to fraction form
    34,730/53,745 = 53,745/x
  3. Step 3: Cross multiply
    34,730x = 53,745 × 53,745
  4. Step 4: Simplify right side
    34,730x = 2,888,525,025
  5. Step 5: Solve for x
    x = 2,888,525,025/34,730
  6. Step 6: Final answer
    x = 83,170.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.