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Finding the Third Proportional to 19,117 and 39,577.75

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Solution

The third proportional to 19,117 and 39,577.75 is: 81,937.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,117 : 39,577.75 = 39,577.75 : x
  2. Step 2: Convert to fraction form
    19,117/39,577.75 = 39,577.75/x
  3. Step 3: Cross multiply
    19,117x = 39,577.75 × 39,577.75
  4. Step 4: Simplify right side
    19,117x = 1,566,398,295.06
  5. Step 5: Solve for x
    x = 1,566,398,295.06/19,117
  6. Step 6: Final answer
    x = 81,937.45

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.