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Finding the Third Proportional to 10,214.54 and 22,308.54

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Solution

The third proportional to 10,214.54 and 22,308.54 is: 48,721.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.54 : 22,308.54 = 22,308.54 : x
  2. Step 2: Convert to fraction form
    10,214.54/22,308.54 = 22,308.54/x
  3. Step 3: Cross multiply
    10,214.54x = 22,308.54 × 22,308.54
  4. Step 4: Simplify right side
    10,214.54x = 497,670,915.10
  5. Step 5: Solve for x
    x = 497,670,915.10/10,214.54
  6. Step 6: Final answer
    x = 48,721.80

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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.