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Finding the Third Proportional to 26,564 and 62,618

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Solution

The third proportional to 26,564 and 62,618 is: 147,606.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,564 : 62,618 = 62,618 : x
  2. Step 2: Convert to fraction form
    26,564/62,618 = 62,618/x
  3. Step 3: Cross multiply
    26,564x = 62,618 × 62,618
  4. Step 4: Simplify right side
    26,564x = 3,921,013,924
  5. Step 5: Solve for x
    x = 3,921,013,924/26,564
  6. Step 6: Final answer
    x = 147,606.31

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.