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Finding the Third Proportional to 30,051.50 and 64,272.06

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Solution

The third proportional to 30,051.50 and 64,272.06 is: 137,460.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,051.50 : 64,272.06 = 64,272.06 : x
  2. Step 2: Convert to fraction form
    30,051.50/64,272.06 = 64,272.06/x
  3. Step 3: Cross multiply
    30,051.50x = 64,272.06 × 64,272.06
  4. Step 4: Simplify right side
    30,051.50x = 4,130,898,018.00
  5. Step 5: Solve for x
    x = 4,130,898,018.00/30,051.50
  6. Step 6: Final answer
    x = 137,460.63

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.