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Finding the Third Proportional to 35,076 and 52,654

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Solution

The third proportional to 35,076 and 52,654 is: 79,041.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,076 : 52,654 = 52,654 : x
  2. Step 2: Convert to fraction form
    35,076/52,654 = 52,654/x
  3. Step 3: Cross multiply
    35,076x = 52,654 × 52,654
  4. Step 4: Simplify right side
    35,076x = 2,772,443,716
  5. Step 5: Solve for x
    x = 2,772,443,716/35,076
  6. Step 6: Final answer
    x = 79,041.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.