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Finding the Third Proportional to 21,953.50 and 47,363

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Solution

The third proportional to 21,953.50 and 47,363 is: 102,182.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,953.50 : 47,363 = 47,363 : x
  2. Step 2: Convert to fraction form
    21,953.50/47,363 = 47,363/x
  3. Step 3: Cross multiply
    21,953.50x = 47,363 × 47,363
  4. Step 4: Simplify right side
    21,953.50x = 2,243,253,769
  5. Step 5: Solve for x
    x = 2,243,253,769/21,953.50
  6. Step 6: Final answer
    x = 102,182.06

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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.