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Finding the Third Proportional to 29,445 and 45,492

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Solution

The third proportional to 29,445 and 45,492 is: 70,284.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,445 : 45,492 = 45,492 : x
  2. Step 2: Convert to fraction form
    29,445/45,492 = 45,492/x
  3. Step 3: Cross multiply
    29,445x = 45,492 × 45,492
  4. Step 4: Simplify right side
    29,445x = 2,069,522,064
  5. Step 5: Solve for x
    x = 2,069,522,064/29,445
  6. Step 6: Final answer
    x = 70,284.33

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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.