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Finding the Third Proportional to 5,827.50 and 7,776

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Solution

The third proportional to 5,827.50 and 7,776 is: 10,376.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.50 : 7,776 = 7,776 : x
  2. Step 2: Convert to fraction form
    5,827.50/7,776 = 7,776/x
  3. Step 3: Cross multiply
    5,827.50x = 7,776 × 7,776
  4. Step 4: Simplify right side
    5,827.50x = 60,466,176
  5. Step 5: Solve for x
    x = 60,466,176/5,827.50
  6. Step 6: Final answer
    x = 10,376.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.