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Finding the Third Proportional to 32,310 and 69,300

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Solution

The third proportional to 32,310 and 69,300 is: 148,637.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,310 : 69,300 = 69,300 : x
  2. Step 2: Convert to fraction form
    32,310/69,300 = 69,300/x
  3. Step 3: Cross multiply
    32,310x = 69,300 × 69,300
  4. Step 4: Simplify right side
    32,310x = 4,802,490,000
  5. Step 5: Solve for x
    x = 4,802,490,000/32,310
  6. Step 6: Final answer
    x = 148,637.88

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.