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Finding the Third Proportional to 39,159 and 58,567.50

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Solution

The third proportional to 39,159 and 58,567.50 is: 87,595.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,159 : 58,567.50 = 58,567.50 : x
  2. Step 2: Convert to fraction form
    39,159/58,567.50 = 58,567.50/x
  3. Step 3: Cross multiply
    39,159x = 58,567.50 × 58,567.50
  4. Step 4: Simplify right side
    39,159x = 3,430,152,056.25
  5. Step 5: Solve for x
    x = 3,430,152,056.25/39,159
  6. Step 6: Final answer
    x = 87,595.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.