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Finding the Third Proportional to 9,915.75 and 14,875.31

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Solution

The third proportional to 9,915.75 and 14,875.31 is: 22,315.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.75 : 14,875.31 = 14,875.31 : x
  2. Step 2: Convert to fraction form
    9,915.75/14,875.31 = 14,875.31/x
  3. Step 3: Cross multiply
    9,915.75x = 14,875.31 × 14,875.31
  4. Step 4: Simplify right side
    9,915.75x = 221,274,921.97
  5. Step 5: Solve for x
    x = 221,274,921.97/9,915.75
  6. Step 6: Final answer
    x = 22,315.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.