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Finding the Third Proportional to 34,730 and 53,536

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Solution

The third proportional to 34,730 and 53,536 is: 82,525.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,730 : 53,536 = 53,536 : x
  2. Step 2: Convert to fraction form
    34,730/53,536 = 53,536/x
  3. Step 3: Cross multiply
    34,730x = 53,536 × 53,536
  4. Step 4: Simplify right side
    34,730x = 2,866,103,296
  5. Step 5: Solve for x
    x = 2,866,103,296/34,730
  6. Step 6: Final answer
    x = 82,525.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.