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Finding the Third Proportional to 19,672 and 42,476

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Solution

The third proportional to 19,672 and 42,476 is: 91,714.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,672 : 42,476 = 42,476 : x
  2. Step 2: Convert to fraction form
    19,672/42,476 = 42,476/x
  3. Step 3: Cross multiply
    19,672x = 42,476 × 42,476
  4. Step 4: Simplify right side
    19,672x = 1,804,210,576
  5. Step 5: Solve for x
    x = 1,804,210,576/19,672
  6. Step 6: Final answer
    x = 91,714.65

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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.