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Finding the Third Proportional to 42,052.50 and 64,392

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Solution

The third proportional to 42,052.50 and 64,392 is: 98,598.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,052.50 : 64,392 = 64,392 : x
  2. Step 2: Convert to fraction form
    42,052.50/64,392 = 64,392/x
  3. Step 3: Cross multiply
    42,052.50x = 64,392 × 64,392
  4. Step 4: Simplify right side
    42,052.50x = 4,146,329,664
  5. Step 5: Solve for x
    x = 4,146,329,664/42,052.50
  6. Step 6: Final answer
    x = 98,598.89

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.