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Finding the Third Proportional to 30,159 and 48,373.50

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Solution

The third proportional to 30,159 and 48,373.50 is: 77,588.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,159 : 48,373.50 = 48,373.50 : x
  2. Step 2: Convert to fraction form
    30,159/48,373.50 = 48,373.50/x
  3. Step 3: Cross multiply
    30,159x = 48,373.50 × 48,373.50
  4. Step 4: Simplify right side
    30,159x = 2,339,995,502.25
  5. Step 5: Solve for x
    x = 2,339,995,502.25/30,159
  6. Step 6: Final answer
    x = 77,588.63

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.