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Finding the Third Proportional to 29,572 and 45,786

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Solution

The third proportional to 29,572 and 45,786 is: 70,889.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,572 : 45,786 = 45,786 : x
  2. Step 2: Convert to fraction form
    29,572/45,786 = 45,786/x
  3. Step 3: Cross multiply
    29,572x = 45,786 × 45,786
  4. Step 4: Simplify right side
    29,572x = 2,096,357,796
  5. Step 5: Solve for x
    x = 2,096,357,796/29,572
  6. Step 6: Final answer
    x = 70,889.96

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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.