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Finding the Third Proportional to 39,655 and 56,998

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Solution

The third proportional to 39,655 and 56,998 is: 81,925.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,655 : 56,998 = 56,998 : x
  2. Step 2: Convert to fraction form
    39,655/56,998 = 56,998/x
  3. Step 3: Cross multiply
    39,655x = 56,998 × 56,998
  4. Step 4: Simplify right side
    39,655x = 3,248,772,004
  5. Step 5: Solve for x
    x = 3,248,772,004/39,655
  6. Step 6: Final answer
    x = 81,925.91

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.