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Finding the Third Proportional to 40,984 and 63,294

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Solution

The third proportional to 40,984 and 63,294 is: 97,748.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,984 : 63,294 = 63,294 : x
  2. Step 2: Convert to fraction form
    40,984/63,294 = 63,294/x
  3. Step 3: Cross multiply
    40,984x = 63,294 × 63,294
  4. Step 4: Simplify right side
    40,984x = 4,006,130,436
  5. Step 5: Solve for x
    x = 4,006,130,436/40,984
  6. Step 6: Final answer
    x = 97,748.64

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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.