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Finding the Third Proportional to 49,360 and 74,484

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Solution

The third proportional to 49,360 and 74,484 is: 112,395.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,360 : 74,484 = 74,484 : x
  2. Step 2: Convert to fraction form
    49,360/74,484 = 74,484/x
  3. Step 3: Cross multiply
    49,360x = 74,484 × 74,484
  4. Step 4: Simplify right side
    49,360x = 5,547,866,256
  5. Step 5: Solve for x
    x = 5,547,866,256/49,360
  6. Step 6: Final answer
    x = 112,395.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.