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Finding the Third Proportional to 30,014.63 and 64,684.50

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Solution

The third proportional to 30,014.63 and 64,684.50 is: 139,401.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,014.63 : 64,684.50 = 64,684.50 : x
  2. Step 2: Convert to fraction form
    30,014.63/64,684.50 = 64,684.50/x
  3. Step 3: Cross multiply
    30,014.63x = 64,684.50 × 64,684.50
  4. Step 4: Simplify right side
    30,014.63x = 4,184,084,540.25
  5. Step 5: Solve for x
    x = 4,184,084,540.25/30,014.63
  6. Step 6: Final answer
    x = 139,401.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.