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Finding the Third Proportional to 29,875 and 40,597

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Solution

The third proportional to 29,875 and 40,597 is: 55,167.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,875 : 40,597 = 40,597 : x
  2. Step 2: Convert to fraction form
    29,875/40,597 = 40,597/x
  3. Step 3: Cross multiply
    29,875x = 40,597 × 40,597
  4. Step 4: Simplify right side
    29,875x = 1,648,116,409
  5. Step 5: Solve for x
    x = 1,648,116,409/29,875
  6. Step 6: Final answer
    x = 55,167.08

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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.