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Finding the Third Proportional to 9,421.50 and 14,915.25

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Solution

The third proportional to 9,421.50 and 14,915.25 is: 23,612.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,421.50 : 14,915.25 = 14,915.25 : x
  2. Step 2: Convert to fraction form
    9,421.50/14,915.25 = 14,915.25/x
  3. Step 3: Cross multiply
    9,421.50x = 14,915.25 × 14,915.25
  4. Step 4: Simplify right side
    9,421.50x = 222,464,682.56
  5. Step 5: Solve for x
    x = 222,464,682.56/9,421.50
  6. Step 6: Final answer
    x = 23,612.45

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.