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Finding the Third Proportional to 40,681 and 59,773

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Solution

The third proportional to 40,681 and 59,773 is: 87,825.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,681 : 59,773 = 59,773 : x
  2. Step 2: Convert to fraction form
    40,681/59,773 = 59,773/x
  3. Step 3: Cross multiply
    40,681x = 59,773 × 59,773
  4. Step 4: Simplify right side
    40,681x = 3,572,811,529
  5. Step 5: Solve for x
    x = 3,572,811,529/40,681
  6. Step 6: Final answer
    x = 87,825.07

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.