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Finding the Third Proportional to 42,925.50 and 65,663.50

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Solution

The third proportional to 42,925.50 and 65,663.50 is: 100,446.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,925.50 : 65,663.50 = 65,663.50 : x
  2. Step 2: Convert to fraction form
    42,925.50/65,663.50 = 65,663.50/x
  3. Step 3: Cross multiply
    42,925.50x = 65,663.50 × 65,663.50
  4. Step 4: Simplify right side
    42,925.50x = 4,311,695,232.25
  5. Step 5: Solve for x
    x = 4,311,695,232.25/42,925.50
  6. Step 6: Final answer
    x = 100,446.01

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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.