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Finding the Third Proportional to 29,184 and 45,076

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Solution

The third proportional to 29,184 and 45,076 is: 69,621.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,184 : 45,076 = 45,076 : x
  2. Step 2: Convert to fraction form
    29,184/45,076 = 45,076/x
  3. Step 3: Cross multiply
    29,184x = 45,076 × 45,076
  4. Step 4: Simplify right side
    29,184x = 2,031,845,776
  5. Step 5: Solve for x
    x = 2,031,845,776/29,184
  6. Step 6: Final answer
    x = 69,621.91

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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.