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Finding the Third Proportional to 8,776 and 13,597

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Solution

The third proportional to 8,776 and 13,597 is: 21,066.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,776 : 13,597 = 13,597 : x
  2. Step 2: Convert to fraction form
    8,776/13,597 = 13,597/x
  3. Step 3: Cross multiply
    8,776x = 13,597 × 13,597
  4. Step 4: Simplify right side
    8,776x = 184,878,409
  5. Step 5: Solve for x
    x = 184,878,409/8,776
  6. Step 6: Final answer
    x = 21,066.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.