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Finding the Third Proportional to 30,656 and 47,485.50

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Solution

The third proportional to 30,656 and 47,485.50 is: 73,554.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,656 : 47,485.50 = 47,485.50 : x
  2. Step 2: Convert to fraction form
    30,656/47,485.50 = 47,485.50/x
  3. Step 3: Cross multiply
    30,656x = 47,485.50 × 47,485.50
  4. Step 4: Simplify right side
    30,656x = 2,254,872,710.25
  5. Step 5: Solve for x
    x = 2,254,872,710.25/30,656
  6. Step 6: Final answer
    x = 73,554.04

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Why These Related Problems?

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