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Finding the Third Proportional to 19,730 and 42,388

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Solution

The third proportional to 19,730 and 42,388 is: 91,066.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,730 : 42,388 = 42,388 : x
  2. Step 2: Convert to fraction form
    19,730/42,388 = 42,388/x
  3. Step 3: Cross multiply
    19,730x = 42,388 × 42,388
  4. Step 4: Simplify right side
    19,730x = 1,796,742,544
  5. Step 5: Solve for x
    x = 1,796,742,544/19,730
  6. Step 6: Final answer
    x = 91,066.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.