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Finding the Third Proportional to 15,506 and 32,852

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Solution

The third proportional to 15,506 and 32,852 is: 69,602.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,506 : 32,852 = 32,852 : x
  2. Step 2: Convert to fraction form
    15,506/32,852 = 32,852/x
  3. Step 3: Cross multiply
    15,506x = 32,852 × 32,852
  4. Step 4: Simplify right side
    15,506x = 1,079,253,904
  5. Step 5: Solve for x
    x = 1,079,253,904/15,506
  6. Step 6: Final answer
    x = 69,602.34

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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.