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Finding the Third Proportional to 4,346 and 6,507

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Solution

The third proportional to 4,346 and 6,507 is: 9,742.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,346 : 6,507 = 6,507 : x
  2. Step 2: Convert to fraction form
    4,346/6,507 = 6,507/x
  3. Step 3: Cross multiply
    4,346x = 6,507 × 6,507
  4. Step 4: Simplify right side
    4,346x = 42,341,049
  5. Step 5: Solve for x
    x = 42,341,049/4,346
  6. Step 6: Final answer
    x = 9,742.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.