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Finding the Third Proportional to 35,871 and 52,710

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Solution

The third proportional to 35,871 and 52,710 is: 77,453.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,871 : 52,710 = 52,710 : x
  2. Step 2: Convert to fraction form
    35,871/52,710 = 52,710/x
  3. Step 3: Cross multiply
    35,871x = 52,710 × 52,710
  4. Step 4: Simplify right side
    35,871x = 2,778,344,100
  5. Step 5: Solve for x
    x = 2,778,344,100/35,871
  6. Step 6: Final answer
    x = 77,453.77

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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.