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Finding the Third Proportional to 29,574 and 45,657

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Solution

The third proportional to 29,574 and 45,657 is: 70,486.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,574 : 45,657 = 45,657 : x
  2. Step 2: Convert to fraction form
    29,574/45,657 = 45,657/x
  3. Step 3: Cross multiply
    29,574x = 45,657 × 45,657
  4. Step 4: Simplify right side
    29,574x = 2,084,561,649
  5. Step 5: Solve for x
    x = 2,084,561,649/29,574
  6. Step 6: Final answer
    x = 70,486.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.