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Finding the Third Proportional to 35,618 and 51,332

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Solution

The third proportional to 35,618 and 51,332 is: 73,978.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,618 : 51,332 = 51,332 : x
  2. Step 2: Convert to fraction form
    35,618/51,332 = 51,332/x
  3. Step 3: Cross multiply
    35,618x = 51,332 × 51,332
  4. Step 4: Simplify right side
    35,618x = 2,634,974,224
  5. Step 5: Solve for x
    x = 2,634,974,224/35,618
  6. Step 6: Final answer
    x = 73,978.72

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.