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Finding the Third Proportional to 28,730 and 43,367

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Solution

The third proportional to 28,730 and 43,367 is: 65,461.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,730 : 43,367 = 43,367 : x
  2. Step 2: Convert to fraction form
    28,730/43,367 = 43,367/x
  3. Step 3: Cross multiply
    28,730x = 43,367 × 43,367
  4. Step 4: Simplify right side
    28,730x = 1,880,696,689
  5. Step 5: Solve for x
    x = 1,880,696,689/28,730
  6. Step 6: Final answer
    x = 65,461.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.