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Finding the Third Proportional to 19,582 and 43,646

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Solution

The third proportional to 19,582 and 43,646 is: 97,281.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,582 : 43,646 = 43,646 : x
  2. Step 2: Convert to fraction form
    19,582/43,646 = 43,646/x
  3. Step 3: Cross multiply
    19,582x = 43,646 × 43,646
  4. Step 4: Simplify right side
    19,582x = 1,904,973,316
  5. Step 5: Solve for x
    x = 1,904,973,316/19,582
  6. Step 6: Final answer
    x = 97,281.86

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.