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Finding the Third Proportional to 14,283.84 and 21,010.64

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Solution

The third proportional to 14,283.84 and 21,010.64 is: 30,905.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,283.84 : 21,010.64 = 21,010.64 : x
  2. Step 2: Convert to fraction form
    14,283.84/21,010.64 = 21,010.64/x
  3. Step 3: Cross multiply
    14,283.84x = 21,010.64 × 21,010.64
  4. Step 4: Simplify right side
    14,283.84x = 441,447,019.47
  5. Step 5: Solve for x
    x = 441,447,019.47/14,283.84
  6. Step 6: Final answer
    x = 30,905.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.