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Finding the Third Proportional to 29,684 and 45,646

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Solution

The third proportional to 29,684 and 45,646 is: 70,191.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,684 : 45,646 = 45,646 : x
  2. Step 2: Convert to fraction form
    29,684/45,646 = 45,646/x
  3. Step 3: Cross multiply
    29,684x = 45,646 × 45,646
  4. Step 4: Simplify right side
    29,684x = 2,083,557,316
  5. Step 5: Solve for x
    x = 2,083,557,316/29,684
  6. Step 6: Final answer
    x = 70,191.26

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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.