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Finding the Third Proportional to 47,254.50 and 70,272

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Solution

The third proportional to 47,254.50 and 70,272 is: 104,501.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,254.50 : 70,272 = 70,272 : x
  2. Step 2: Convert to fraction form
    47,254.50/70,272 = 70,272/x
  3. Step 3: Cross multiply
    47,254.50x = 70,272 × 70,272
  4. Step 4: Simplify right side
    47,254.50x = 4,938,153,984
  5. Step 5: Solve for x
    x = 4,938,153,984/47,254.50
  6. Step 6: Final answer
    x = 104,501.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.