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Finding the Third Proportional to 47,152 and 64,887

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Solution

The third proportional to 47,152 and 64,887 is: 89,292.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,152 : 64,887 = 64,887 : x
  2. Step 2: Convert to fraction form
    47,152/64,887 = 64,887/x
  3. Step 3: Cross multiply
    47,152x = 64,887 × 64,887
  4. Step 4: Simplify right side
    47,152x = 4,210,322,769
  5. Step 5: Solve for x
    x = 4,210,322,769/47,152
  6. Step 6: Final answer
    x = 89,292.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.