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Finding the Third Proportional to 39,155 and 59,280

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Solution

The third proportional to 39,155 and 59,280 is: 89,748.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,155 : 59,280 = 59,280 : x
  2. Step 2: Convert to fraction form
    39,155/59,280 = 59,280/x
  3. Step 3: Cross multiply
    39,155x = 59,280 × 59,280
  4. Step 4: Simplify right side
    39,155x = 3,514,118,400
  5. Step 5: Solve for x
    x = 3,514,118,400/39,155
  6. Step 6: Final answer
    x = 89,748.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.