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Finding the Third Proportional to 30,656 and 67,332

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Solution

The third proportional to 30,656 and 67,332 is: 147,886.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,656 : 67,332 = 67,332 : x
  2. Step 2: Convert to fraction form
    30,656/67,332 = 67,332/x
  3. Step 3: Cross multiply
    30,656x = 67,332 × 67,332
  4. Step 4: Simplify right side
    30,656x = 4,533,598,224
  5. Step 5: Solve for x
    x = 4,533,598,224/30,656
  6. Step 6: Final answer
    x = 147,886.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.