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Finding the Third Proportional to 30,549.66 and 64,174.78

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Solution

The third proportional to 30,549.66 and 64,174.78 is: 134,810.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,549.66 : 64,174.78 = 64,174.78 : x
  2. Step 2: Convert to fraction form
    30,549.66/64,174.78 = 64,174.78/x
  3. Step 3: Cross multiply
    30,549.66x = 64,174.78 × 64,174.78
  4. Step 4: Simplify right side
    30,549.66x = 4,118,402,548.49
  5. Step 5: Solve for x
    x = 4,118,402,548.49/30,549.66
  6. Step 6: Final answer
    x = 134,810.11

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.