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Finding the Third Proportional to 28,385 and 42,971

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Solution

The third proportional to 28,385 and 42,971 is: 65,052.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,385 : 42,971 = 42,971 : x
  2. Step 2: Convert to fraction form
    28,385/42,971 = 42,971/x
  3. Step 3: Cross multiply
    28,385x = 42,971 × 42,971
  4. Step 4: Simplify right side
    28,385x = 1,846,506,841
  5. Step 5: Solve for x
    x = 1,846,506,841/28,385
  6. Step 6: Final answer
    x = 65,052.21

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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.