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Finding the Third Proportional to 15,526 and 31,772

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Solution

The third proportional to 15,526 and 31,772 is: 65,017.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,526 : 31,772 = 31,772 : x
  2. Step 2: Convert to fraction form
    15,526/31,772 = 31,772/x
  3. Step 3: Cross multiply
    15,526x = 31,772 × 31,772
  4. Step 4: Simplify right side
    15,526x = 1,009,459,984
  5. Step 5: Solve for x
    x = 1,009,459,984/15,526
  6. Step 6: Final answer
    x = 65,017.39

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.