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Finding the Third Proportional to 46,101.75 and 72,005.63

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Solution

The third proportional to 46,101.75 and 72,005.63 is: 112,464.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,101.75 : 72,005.63 = 72,005.63 : x
  2. Step 2: Convert to fraction form
    46,101.75/72,005.63 = 72,005.63/x
  3. Step 3: Cross multiply
    46,101.75x = 72,005.63 × 72,005.63
  4. Step 4: Simplify right side
    46,101.75x = 5,184,810,031.64
  5. Step 5: Solve for x
    x = 5,184,810,031.64/46,101.75
  6. Step 6: Final answer
    x = 112,464.49

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.