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Finding the Third Proportional to 14,532.54 and 20,970.14

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Solution

The third proportional to 14,532.54 and 20,970.14 is: 30,259.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,532.54 : 20,970.14 = 20,970.14 : x
  2. Step 2: Convert to fraction form
    14,532.54/20,970.14 = 20,970.14/x
  3. Step 3: Cross multiply
    14,532.54x = 20,970.14 × 20,970.14
  4. Step 4: Simplify right side
    14,532.54x = 439,746,797.83
  5. Step 5: Solve for x
    x = 439,746,797.83/14,532.54
  6. Step 6: Final answer
    x = 30,259.46

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.