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Finding the Third Proportional to 40,988 and 63,091

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Solution

The third proportional to 40,988 and 63,091 is: 97,113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,988 : 63,091 = 63,091 : x
  2. Step 2: Convert to fraction form
    40,988/63,091 = 63,091/x
  3. Step 3: Cross multiply
    40,988x = 63,091 × 63,091
  4. Step 4: Simplify right side
    40,988x = 3,980,474,281
  5. Step 5: Solve for x
    x = 3,980,474,281/40,988
  6. Step 6: Final answer
    x = 97,113.16

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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.