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Finding the Third Proportional to 19,637 and 42,730

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Solution

The third proportional to 19,637 and 42,730 is: 92,980.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,637 : 42,730 = 42,730 : x
  2. Step 2: Convert to fraction form
    19,637/42,730 = 42,730/x
  3. Step 3: Cross multiply
    19,637x = 42,730 × 42,730
  4. Step 4: Simplify right side
    19,637x = 1,825,852,900
  5. Step 5: Solve for x
    x = 1,825,852,900/19,637
  6. Step 6: Final answer
    x = 92,980.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.