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Finding the Third Proportional to 15,973.88 and 32,972.06

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Solution

The third proportional to 15,973.88 and 32,972.06 is: 68,058.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,973.88 : 32,972.06 = 32,972.06 : x
  2. Step 2: Convert to fraction form
    15,973.88/32,972.06 = 32,972.06/x
  3. Step 3: Cross multiply
    15,973.88x = 32,972.06 × 32,972.06
  4. Step 4: Simplify right side
    15,973.88x = 1,087,156,905.50
  5. Step 5: Solve for x
    x = 1,087,156,905.50/15,973.88
  6. Step 6: Final answer
    x = 68,058.43

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.