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Finding the Third Proportional to 4,776 and 6,513.50

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Solution

The third proportional to 4,776 and 6,513.50 is: 8,883.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776 : 6,513.50 = 6,513.50 : x
  2. Step 2: Convert to fraction form
    4,776/6,513.50 = 6,513.50/x
  3. Step 3: Cross multiply
    4,776x = 6,513.50 × 6,513.50
  4. Step 4: Simplify right side
    4,776x = 42,425,682.25
  5. Step 5: Solve for x
    x = 42,425,682.25/4,776
  6. Step 6: Final answer
    x = 8,883.10

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.