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Finding the Third Proportional to 34,248 and 51,618

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Solution

The third proportional to 34,248 and 51,618 is: 77,797.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,248 : 51,618 = 51,618 : x
  2. Step 2: Convert to fraction form
    34,248/51,618 = 51,618/x
  3. Step 3: Cross multiply
    34,248x = 51,618 × 51,618
  4. Step 4: Simplify right side
    34,248x = 2,664,417,924
  5. Step 5: Solve for x
    x = 2,664,417,924/34,248
  6. Step 6: Final answer
    x = 77,797.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.