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Finding the Third Proportional to 28,034 and 60,646

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Solution

The third proportional to 28,034 and 60,646 is: 131,195.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,034 : 60,646 = 60,646 : x
  2. Step 2: Convert to fraction form
    28,034/60,646 = 60,646/x
  3. Step 3: Cross multiply
    28,034x = 60,646 × 60,646
  4. Step 4: Simplify right side
    28,034x = 3,677,937,316
  5. Step 5: Solve for x
    x = 3,677,937,316/28,034
  6. Step 6: Final answer
    x = 131,195.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.