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Finding the Third Proportional to 45,886.08 and 64,619.02

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Solution

The third proportional to 45,886.08 and 64,619.02 is: 90,999.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,886.08 : 64,619.02 = 64,619.02 : x
  2. Step 2: Convert to fraction form
    45,886.08/64,619.02 = 64,619.02/x
  3. Step 3: Cross multiply
    45,886.08x = 64,619.02 × 64,619.02
  4. Step 4: Simplify right side
    45,886.08x = 4,175,617,180.34
  5. Step 5: Solve for x
    x = 4,175,617,180.34/45,886.08
  6. Step 6: Final answer
    x = 90,999.65

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.