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Finding the Third Proportional to 45,580 and 66,750

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Solution

The third proportional to 45,580 and 66,750 is: 97,752.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,580 : 66,750 = 66,750 : x
  2. Step 2: Convert to fraction form
    45,580/66,750 = 66,750/x
  3. Step 3: Cross multiply
    45,580x = 66,750 × 66,750
  4. Step 4: Simplify right side
    45,580x = 4,455,562,500
  5. Step 5: Solve for x
    x = 4,455,562,500/45,580
  6. Step 6: Final answer
    x = 97,752.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.