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Finding the Third Proportional to 29,570.63 and 64,063.13

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Solution

The third proportional to 29,570.63 and 64,063.13 is: 138,789.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,570.63 : 64,063.13 = 64,063.13 : x
  2. Step 2: Convert to fraction form
    29,570.63/64,063.13 = 64,063.13/x
  3. Step 3: Cross multiply
    29,570.63x = 64,063.13 × 64,063.13
  4. Step 4: Simplify right side
    29,570.63x = 4,104,083,984.77
  5. Step 5: Solve for x
    x = 4,104,083,984.77/29,570.63
  6. Step 6: Final answer
    x = 138,789.22

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.