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Finding the Third Proportional to 29,480 and 45,648

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Solution

The third proportional to 29,480 and 45,648 is: 70,683.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,480 : 45,648 = 45,648 : x
  2. Step 2: Convert to fraction form
    29,480/45,648 = 45,648/x
  3. Step 3: Cross multiply
    29,480x = 45,648 × 45,648
  4. Step 4: Simplify right side
    29,480x = 2,083,739,904
  5. Step 5: Solve for x
    x = 2,083,739,904/29,480
  6. Step 6: Final answer
    x = 70,683.17

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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.