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Finding the Third Proportional to 10,040.63 and 21,470.06

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Solution

The third proportional to 10,040.63 and 21,470.06 is: 45,909.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,040.63 : 21,470.06 = 21,470.06 : x
  2. Step 2: Convert to fraction form
    10,040.63/21,470.06 = 21,470.06/x
  3. Step 3: Cross multiply
    10,040.63x = 21,470.06 × 21,470.06
  4. Step 4: Simplify right side
    10,040.63x = 460,963,583.75
  5. Step 5: Solve for x
    x = 460,963,583.75/10,040.63
  6. Step 6: Final answer
    x = 45,909.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.