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Finding the Third Proportional to 14,731.88 and 31,210.31

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Solution

The third proportional to 14,731.88 and 31,210.31 is: 66,120.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,731.88 : 31,210.31 = 31,210.31 : x
  2. Step 2: Convert to fraction form
    14,731.88/31,210.31 = 31,210.31/x
  3. Step 3: Cross multiply
    14,731.88x = 31,210.31 × 31,210.31
  4. Step 4: Simplify right side
    14,731.88x = 974,083,606.35
  5. Step 5: Solve for x
    x = 974,083,606.35/14,731.88
  6. Step 6: Final answer
    x = 66,120.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.