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Finding the Third Proportional to 6,561 and 15,673.50

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Solution

The third proportional to 6,561 and 15,673.50 is: 37,442.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561 : 15,673.50 = 15,673.50 : x
  2. Step 2: Convert to fraction form
    6,561/15,673.50 = 15,673.50/x
  3. Step 3: Cross multiply
    6,561x = 15,673.50 × 15,673.50
  4. Step 4: Simplify right side
    6,561x = 245,658,602.25
  5. Step 5: Solve for x
    x = 245,658,602.25/6,561
  6. Step 6: Final answer
    x = 37,442.25

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.