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Finding the Third Proportional to 30,618 and 45,348

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Solution

The third proportional to 30,618 and 45,348 is: 67,164.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,618 : 45,348 = 45,348 : x
  2. Step 2: Convert to fraction form
    30,618/45,348 = 45,348/x
  3. Step 3: Cross multiply
    30,618x = 45,348 × 45,348
  4. Step 4: Simplify right side
    30,618x = 2,056,441,104
  5. Step 5: Solve for x
    x = 2,056,441,104/30,618
  6. Step 6: Final answer
    x = 67,164.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.