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Finding the Third Proportional to 39,564 and 59,220

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Solution

The third proportional to 39,564 and 59,220 is: 88,641.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,564 : 59,220 = 59,220 : x
  2. Step 2: Convert to fraction form
    39,564/59,220 = 59,220/x
  3. Step 3: Cross multiply
    39,564x = 59,220 × 59,220
  4. Step 4: Simplify right side
    39,564x = 3,507,008,400
  5. Step 5: Solve for x
    x = 3,507,008,400/39,564
  6. Step 6: Final answer
    x = 88,641.40

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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.