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Finding the Third Proportional to 38,457 and 58,216.08

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Solution

The third proportional to 38,457 and 58,216.08 is: 88,127.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,457 : 58,216.08 = 58,216.08 : x
  2. Step 2: Convert to fraction form
    38,457/58,216.08 = 58,216.08/x
  3. Step 3: Cross multiply
    38,457x = 58,216.08 × 58,216.08
  4. Step 4: Simplify right side
    38,457x = 3,389,111,752.26
  5. Step 5: Solve for x
    x = 3,389,111,752.26/38,457
  6. Step 6: Final answer
    x = 88,127.30

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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.