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Finding the Third Proportional to 15,582 and 33,659

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Solution

The third proportional to 15,582 and 33,659 is: 72,707.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,582 : 33,659 = 33,659 : x
  2. Step 2: Convert to fraction form
    15,582/33,659 = 33,659/x
  3. Step 3: Cross multiply
    15,582x = 33,659 × 33,659
  4. Step 4: Simplify right side
    15,582x = 1,132,928,281
  5. Step 5: Solve for x
    x = 1,132,928,281/15,582
  6. Step 6: Final answer
    x = 72,707.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.