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Finding the Third Proportional to 21,870 and 47,994.40

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Solution

The third proportional to 21,870 and 47,994.40 is: 105,325.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,870 : 47,994.40 = 47,994.40 : x
  2. Step 2: Convert to fraction form
    21,870/47,994.40 = 47,994.40/x
  3. Step 3: Cross multiply
    21,870x = 47,994.40 × 47,994.40
  4. Step 4: Simplify right side
    21,870x = 2,303,462,281.38
  5. Step 5: Solve for x
    x = 2,303,462,281.38/21,870
  6. Step 6: Final answer
    x = 105,325.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.