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Finding the Third Proportional to 40,853 and 59,658

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Solution

The third proportional to 40,853 and 59,658 is: 87,119.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,853 : 59,658 = 59,658 : x
  2. Step 2: Convert to fraction form
    40,853/59,658 = 59,658/x
  3. Step 3: Cross multiply
    40,853x = 59,658 × 59,658
  4. Step 4: Simplify right side
    40,853x = 3,559,076,964
  5. Step 5: Solve for x
    x = 3,559,076,964/40,853
  6. Step 6: Final answer
    x = 87,119.11

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.