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Finding the Third Proportional to 30,259.13 and 64,672.88

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Solution

The third proportional to 30,259.13 and 64,672.88 is: 138,225.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,259.13 : 64,672.88 = 64,672.88 : x
  2. Step 2: Convert to fraction form
    30,259.13/64,672.88 = 64,672.88/x
  3. Step 3: Cross multiply
    30,259.13x = 64,672.88 × 64,672.88
  4. Step 4: Simplify right side
    30,259.13x = 4,182,580,760.77
  5. Step 5: Solve for x
    x = 4,182,580,760.77/30,259.13
  6. Step 6: Final answer
    x = 138,225.44

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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.