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Finding the Third Proportional to 32,580 and 49,518

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Solution

The third proportional to 32,580 and 49,518 is: 75,261.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,580 : 49,518 = 49,518 : x
  2. Step 2: Convert to fraction form
    32,580/49,518 = 49,518/x
  3. Step 3: Cross multiply
    32,580x = 49,518 × 49,518
  4. Step 4: Simplify right side
    32,580x = 2,452,032,324
  5. Step 5: Solve for x
    x = 2,452,032,324/32,580
  6. Step 6: Final answer
    x = 75,261.89

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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.