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Finding the Third Proportional to 32,579 and 70,987

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Solution

The third proportional to 32,579 and 70,987 is: 154,674.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,579 : 70,987 = 70,987 : x
  2. Step 2: Convert to fraction form
    32,579/70,987 = 70,987/x
  3. Step 3: Cross multiply
    32,579x = 70,987 × 70,987
  4. Step 4: Simplify right side
    32,579x = 5,039,154,169
  5. Step 5: Solve for x
    x = 5,039,154,169/32,579
  6. Step 6: Final answer
    x = 154,674.92

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Why These Related Problems?

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