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Finding the Third Proportional to 29,618 and 63,332

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Solution

The third proportional to 29,618 and 63,332 is: 135,422.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,618 : 63,332 = 63,332 : x
  2. Step 2: Convert to fraction form
    29,618/63,332 = 63,332/x
  3. Step 3: Cross multiply
    29,618x = 63,332 × 63,332
  4. Step 4: Simplify right side
    29,618x = 4,010,942,224
  5. Step 5: Solve for x
    x = 4,010,942,224/29,618
  6. Step 6: Final answer
    x = 135,422.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.