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Finding the Third Proportional to 12,038.63 and 29,003.06

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Solution

The third proportional to 12,038.63 and 29,003.06 is: 69,873.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,038.63 : 29,003.06 = 29,003.06 : x
  2. Step 2: Convert to fraction form
    12,038.63/29,003.06 = 29,003.06/x
  3. Step 3: Cross multiply
    12,038.63x = 29,003.06 × 29,003.06
  4. Step 4: Simplify right side
    12,038.63x = 841,177,634.38
  5. Step 5: Solve for x
    x = 841,177,634.38/12,038.63
  6. Step 6: Final answer
    x = 69,873.23

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.