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Finding the Third Proportional to 5,730 and 7,461

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Solution

The third proportional to 5,730 and 7,461 is: 9,714.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730 : 7,461 = 7,461 : x
  2. Step 2: Convert to fraction form
    5,730/7,461 = 7,461/x
  3. Step 3: Cross multiply
    5,730x = 7,461 × 7,461
  4. Step 4: Simplify right side
    5,730x = 55,666,521
  5. Step 5: Solve for x
    x = 55,666,521/5,730
  6. Step 6: Final answer
    x = 9,714.93

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.