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Finding the Third Proportional to 45,424.13 and 63,652.88

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Solution

The third proportional to 45,424.13 and 63,652.88 is: 89,196.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,424.13 : 63,652.88 = 63,652.88 : x
  2. Step 2: Convert to fraction form
    45,424.13/63,652.88 = 63,652.88/x
  3. Step 3: Cross multiply
    45,424.13x = 63,652.88 × 63,652.88
  4. Step 4: Simplify right side
    45,424.13x = 4,051,688,495.77
  5. Step 5: Solve for x
    x = 4,051,688,495.77/45,424.13
  6. Step 6: Final answer
    x = 89,196.84

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.