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Finding the Third Proportional to 32,715 and 70,610

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Solution

The third proportional to 32,715 and 70,610 is: 152,400.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,715 : 70,610 = 70,610 : x
  2. Step 2: Convert to fraction form
    32,715/70,610 = 70,610/x
  3. Step 3: Cross multiply
    32,715x = 70,610 × 70,610
  4. Step 4: Simplify right side
    32,715x = 4,985,772,100
  5. Step 5: Solve for x
    x = 4,985,772,100/32,715
  6. Step 6: Final answer
    x = 152,400.19

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.