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Finding the Third Proportional to 39,618 and 60,157.50

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Solution

The third proportional to 39,618 and 60,157.50 is: 91,345.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,618 : 60,157.50 = 60,157.50 : x
  2. Step 2: Convert to fraction form
    39,618/60,157.50 = 60,157.50/x
  3. Step 3: Cross multiply
    39,618x = 60,157.50 × 60,157.50
  4. Step 4: Simplify right side
    39,618x = 3,618,924,806.25
  5. Step 5: Solve for x
    x = 3,618,924,806.25/39,618
  6. Step 6: Final answer
    x = 91,345.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.