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Finding the Third Proportional to 19,875 and 43,390.50

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Solution

The third proportional to 19,875 and 43,390.50 is: 94,728.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,875 : 43,390.50 = 43,390.50 : x
  2. Step 2: Convert to fraction form
    19,875/43,390.50 = 43,390.50/x
  3. Step 3: Cross multiply
    19,875x = 43,390.50 × 43,390.50
  4. Step 4: Simplify right side
    19,875x = 1,882,735,490.25
  5. Step 5: Solve for x
    x = 1,882,735,490.25/19,875
  6. Step 6: Final answer
    x = 94,728.83

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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.