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Finding the Third Proportional to 47,461.50 and 70,461

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Solution

The third proportional to 47,461.50 and 70,461 is: 104,605.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,461.50 : 70,461 = 70,461 : x
  2. Step 2: Convert to fraction form
    47,461.50/70,461 = 70,461/x
  3. Step 3: Cross multiply
    47,461.50x = 70,461 × 70,461
  4. Step 4: Simplify right side
    47,461.50x = 4,964,752,521
  5. Step 5: Solve for x
    x = 4,964,752,521/47,461.50
  6. Step 6: Final answer
    x = 104,605.89

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.