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Finding the Third Proportional to 30,700 and 47,548.50

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Solution

The third proportional to 30,700 and 47,548.50 is: 73,643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,700 : 47,548.50 = 47,548.50 : x
  2. Step 2: Convert to fraction form
    30,700/47,548.50 = 47,548.50/x
  3. Step 3: Cross multiply
    30,700x = 47,548.50 × 47,548.50
  4. Step 4: Simplify right side
    30,700x = 2,260,859,852.25
  5. Step 5: Solve for x
    x = 2,260,859,852.25/30,700
  6. Step 6: Final answer
    x = 73,643.64

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.