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Finding the Third Proportional to 21,911 and 47,968.13

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Solution

The third proportional to 21,911 and 47,968.13 is: 105,013.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,911 : 47,968.13 = 47,968.13 : x
  2. Step 2: Convert to fraction form
    21,911/47,968.13 = 47,968.13/x
  3. Step 3: Cross multiply
    21,911x = 47,968.13 × 47,968.13
  4. Step 4: Simplify right side
    21,911x = 2,300,941,016.02
  5. Step 5: Solve for x
    x = 2,300,941,016.02/21,911
  6. Step 6: Final answer
    x = 105,013.05

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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.