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Finding the Third Proportional to 19,532 and 42,106

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Solution

The third proportional to 19,532 and 42,106 is: 90,769.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,532 : 42,106 = 42,106 : x
  2. Step 2: Convert to fraction form
    19,532/42,106 = 42,106/x
  3. Step 3: Cross multiply
    19,532x = 42,106 × 42,106
  4. Step 4: Simplify right side
    19,532x = 1,772,915,236
  5. Step 5: Solve for x
    x = 1,772,915,236/19,532
  6. Step 6: Final answer
    x = 90,769.77

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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.