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Finding the Third Proportional to 41,952 and 64,021.50

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Solution

The third proportional to 41,952 and 64,021.50 is: 97,701.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,952 : 64,021.50 = 64,021.50 : x
  2. Step 2: Convert to fraction form
    41,952/64,021.50 = 64,021.50/x
  3. Step 3: Cross multiply
    41,952x = 64,021.50 × 64,021.50
  4. Step 4: Simplify right side
    41,952x = 4,098,752,462.25
  5. Step 5: Solve for x
    x = 4,098,752,462.25/41,952
  6. Step 6: Final answer
    x = 97,701.00

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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.