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Finding the Third Proportional to 28,964 and 63,466

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Solution

The third proportional to 28,964 and 63,466 is: 139,066.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,964 : 63,466 = 63,466 : x
  2. Step 2: Convert to fraction form
    28,964/63,466 = 63,466/x
  3. Step 3: Cross multiply
    28,964x = 63,466 × 63,466
  4. Step 4: Simplify right side
    28,964x = 4,027,933,156
  5. Step 5: Solve for x
    x = 4,027,933,156/28,964
  6. Step 6: Final answer
    x = 139,066.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.