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Finding the Third Proportional to 30,303.25 and 64,818.50

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Solution

The third proportional to 30,303.25 and 64,818.50 is: 138,646.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,303.25 : 64,818.50 = 64,818.50 : x
  2. Step 2: Convert to fraction form
    30,303.25/64,818.50 = 64,818.50/x
  3. Step 3: Cross multiply
    30,303.25x = 64,818.50 × 64,818.50
  4. Step 4: Simplify right side
    30,303.25x = 4,201,437,942.25
  5. Step 5: Solve for x
    x = 4,201,437,942.25/30,303.25
  6. Step 6: Final answer
    x = 138,646.45

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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.