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Finding the Third Proportional to 9,838.13 and 21,898.13

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Solution

The third proportional to 9,838.13 and 21,898.13 is: 48,741.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.13 : 21,898.13 = 21,898.13 : x
  2. Step 2: Convert to fraction form
    9,838.13/21,898.13 = 21,898.13/x
  3. Step 3: Cross multiply
    9,838.13x = 21,898.13 × 21,898.13
  4. Step 4: Simplify right side
    9,838.13x = 479,527,878.52
  5. Step 5: Solve for x
    x = 479,527,878.52/9,838.13
  6. Step 6: Final answer
    x = 48,741.80

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.