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Finding the Third Proportional to 40,024.64 and 85,985.04

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Solution

The third proportional to 40,024.64 and 85,985.04 is: 184,721.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,024.64 : 85,985.04 = 85,985.04 : x
  2. Step 2: Convert to fraction form
    40,024.64/85,985.04 = 85,985.04/x
  3. Step 3: Cross multiply
    40,024.64x = 85,985.04 × 85,985.04
  4. Step 4: Simplify right side
    40,024.64x = 7,393,427,068.53
  5. Step 5: Solve for x
    x = 7,393,427,068.53/40,024.64
  6. Step 6: Final answer
    x = 184,721.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.