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Finding the Third Proportional to 44,875 and 94,484

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Solution

The third proportional to 44,875 and 94,484 is: 198,935.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,875 : 94,484 = 94,484 : x
  2. Step 2: Convert to fraction form
    44,875/94,484 = 94,484/x
  3. Step 3: Cross multiply
    44,875x = 94,484 × 94,484
  4. Step 4: Simplify right side
    44,875x = 8,927,226,256
  5. Step 5: Solve for x
    x = 8,927,226,256/44,875
  6. Step 6: Final answer
    x = 198,935.40

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.