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Finding the Third Proportional to 29,604 and 45,840

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Solution

The third proportional to 29,604 and 45,840 is: 70,980.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,604 : 45,840 = 45,840 : x
  2. Step 2: Convert to fraction form
    29,604/45,840 = 45,840/x
  3. Step 3: Cross multiply
    29,604x = 45,840 × 45,840
  4. Step 4: Simplify right side
    29,604x = 2,101,305,600
  5. Step 5: Solve for x
    x = 2,101,305,600/29,604
  6. Step 6: Final answer
    x = 70,980.46

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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.