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Finding the Third Proportional to 32,580 and 70,830

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Solution

The third proportional to 32,580 and 70,830 is: 153,986.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,580 : 70,830 = 70,830 : x
  2. Step 2: Convert to fraction form
    32,580/70,830 = 70,830/x
  3. Step 3: Cross multiply
    32,580x = 70,830 × 70,830
  4. Step 4: Simplify right side
    32,580x = 5,016,888,900
  5. Step 5: Solve for x
    x = 5,016,888,900/32,580
  6. Step 6: Final answer
    x = 153,986.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.