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Finding the Third Proportional to 32,010 and 48,457

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Solution

The third proportional to 32,010 and 48,457 is: 73,354.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,010 : 48,457 = 48,457 : x
  2. Step 2: Convert to fraction form
    32,010/48,457 = 48,457/x
  3. Step 3: Cross multiply
    32,010x = 48,457 × 48,457
  4. Step 4: Simplify right side
    32,010x = 2,348,080,849
  5. Step 5: Solve for x
    x = 2,348,080,849/32,010
  6. Step 6: Final answer
    x = 73,354.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.