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Finding the Third Proportional to 15,658 and 34,772

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Solution

The third proportional to 15,658 and 34,772 is: 77,218.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,658 : 34,772 = 34,772 : x
  2. Step 2: Convert to fraction form
    15,658/34,772 = 34,772/x
  3. Step 3: Cross multiply
    15,658x = 34,772 × 34,772
  4. Step 4: Simplify right side
    15,658x = 1,209,091,984
  5. Step 5: Solve for x
    x = 1,209,091,984/15,658
  6. Step 6: Final answer
    x = 77,218.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.