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Finding the Third Proportional to 18,346 and 28,618

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Solution

The third proportional to 18,346 and 28,618 is: 44,641.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,346 : 28,618 = 28,618 : x
  2. Step 2: Convert to fraction form
    18,346/28,618 = 28,618/x
  3. Step 3: Cross multiply
    18,346x = 28,618 × 28,618
  4. Step 4: Simplify right side
    18,346x = 818,989,924
  5. Step 5: Solve for x
    x = 818,989,924/18,346
  6. Step 6: Final answer
    x = 44,641.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.