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Finding the Third Proportional to 32,610 and 70,404

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Solution

The third proportional to 32,610 and 70,404 is: 152,000.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,610 : 70,404 = 70,404 : x
  2. Step 2: Convert to fraction form
    32,610/70,404 = 70,404/x
  3. Step 3: Cross multiply
    32,610x = 70,404 × 70,404
  4. Step 4: Simplify right side
    32,610x = 4,956,723,216
  5. Step 5: Solve for x
    x = 4,956,723,216/32,610
  6. Step 6: Final answer
    x = 152,000.10

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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.