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Finding the Third Proportional to 38,312 and 61,518

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Solution

The third proportional to 38,312 and 61,518 is: 98,780.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,312 : 61,518 = 61,518 : x
  2. Step 2: Convert to fraction form
    38,312/61,518 = 61,518/x
  3. Step 3: Cross multiply
    38,312x = 61,518 × 61,518
  4. Step 4: Simplify right side
    38,312x = 3,784,464,324
  5. Step 5: Solve for x
    x = 3,784,464,324/38,312
  6. Step 6: Final answer
    x = 98,780.13

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.