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Finding the Third Proportional to 9,972 and 14,548.50

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Solution

The third proportional to 9,972 and 14,548.50 is: 21,225.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972 : 14,548.50 = 14,548.50 : x
  2. Step 2: Convert to fraction form
    9,972/14,548.50 = 14,548.50/x
  3. Step 3: Cross multiply
    9,972x = 14,548.50 × 14,548.50
  4. Step 4: Simplify right side
    9,972x = 211,658,852.25
  5. Step 5: Solve for x
    x = 211,658,852.25/9,972
  6. Step 6: Final answer
    x = 21,225.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.