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Finding the Third Proportional to 29,710 and 44,572

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Solution

The third proportional to 29,710 and 44,572 is: 66,868.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,710 : 44,572 = 44,572 : x
  2. Step 2: Convert to fraction form
    29,710/44,572 = 44,572/x
  3. Step 3: Cross multiply
    29,710x = 44,572 × 44,572
  4. Step 4: Simplify right side
    29,710x = 1,986,663,184
  5. Step 5: Solve for x
    x = 1,986,663,184/29,710
  6. Step 6: Final answer
    x = 66,868.50

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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.