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Finding the Third Proportional to 14,202.56 and 21,030.47

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Solution

The third proportional to 14,202.56 and 21,030.47 is: 31,140.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,202.56 : 21,030.47 = 21,030.47 : x
  2. Step 2: Convert to fraction form
    14,202.56/21,030.47 = 21,030.47/x
  3. Step 3: Cross multiply
    14,202.56x = 21,030.47 × 21,030.47
  4. Step 4: Simplify right side
    14,202.56x = 442,280,615.84
  5. Step 5: Solve for x
    x = 442,280,615.84/14,202.56
  6. Step 6: Final answer
    x = 31,140.90

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.