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Finding the Third Proportional to 45,602.50 and 64,173.50

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Solution

The third proportional to 45,602.50 and 64,173.50 is: 90,307.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,602.50 : 64,173.50 = 64,173.50 : x
  2. Step 2: Convert to fraction form
    45,602.50/64,173.50 = 64,173.50/x
  3. Step 3: Cross multiply
    45,602.50x = 64,173.50 × 64,173.50
  4. Step 4: Simplify right side
    45,602.50x = 4,118,238,102.25
  5. Step 5: Solve for x
    x = 4,118,238,102.25/45,602.50
  6. Step 6: Final answer
    x = 90,307.29

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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.