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Finding the Third Proportional to 30,083.63 and 64,830.94

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Solution

The third proportional to 30,083.63 and 64,830.94 is: 139,712.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,083.63 : 64,830.94 = 64,830.94 : x
  2. Step 2: Convert to fraction form
    30,083.63/64,830.94 = 64,830.94/x
  3. Step 3: Cross multiply
    30,083.63x = 64,830.94 × 64,830.94
  4. Step 4: Simplify right side
    30,083.63x = 4,203,050,457.13
  5. Step 5: Solve for x
    x = 4,203,050,457.13/30,083.63
  6. Step 6: Final answer
    x = 139,712.23

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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.