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Finding the Third Proportional to 32,499 and 70,946

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Solution

The third proportional to 32,499 and 70,946 is: 154,876.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,499 : 70,946 = 70,946 : x
  2. Step 2: Convert to fraction form
    32,499/70,946 = 70,946/x
  3. Step 3: Cross multiply
    32,499x = 70,946 × 70,946
  4. Step 4: Simplify right side
    32,499x = 5,033,334,916
  5. Step 5: Solve for x
    x = 5,033,334,916/32,499
  6. Step 6: Final answer
    x = 154,876.61

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.