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Finding the Third Proportional to 14,965 and 32,386

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Solution

The third proportional to 14,965 and 32,386 is: 70,087.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,965 : 32,386 = 32,386 : x
  2. Step 2: Convert to fraction form
    14,965/32,386 = 32,386/x
  3. Step 3: Cross multiply
    14,965x = 32,386 × 32,386
  4. Step 4: Simplify right side
    14,965x = 1,048,852,996
  5. Step 5: Solve for x
    x = 1,048,852,996/14,965
  6. Step 6: Final answer
    x = 70,087.07

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Why These Related Problems?

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