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Finding the Third Proportional to 66,828.38 and 88,335

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Solution

The third proportional to 66,828.38 and 88,335 is: 116,762.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,828.38 : 88,335 = 88,335 : x
  2. Step 2: Convert to fraction form
    66,828.38/88,335 = 88,335/x
  3. Step 3: Cross multiply
    66,828.38x = 88,335 × 88,335
  4. Step 4: Simplify right side
    66,828.38x = 7,803,072,225
  5. Step 5: Solve for x
    x = 7,803,072,225/66,828.38
  6. Step 6: Final answer
    x = 116,762.86

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.