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Finding the Third Proportional to 38,313 and 59,798.50

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Solution

The third proportional to 38,313 and 59,798.50 is: 93,332.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,313 : 59,798.50 = 59,798.50 : x
  2. Step 2: Convert to fraction form
    38,313/59,798.50 = 59,798.50/x
  3. Step 3: Cross multiply
    38,313x = 59,798.50 × 59,798.50
  4. Step 4: Simplify right side
    38,313x = 3,575,860,602.25
  5. Step 5: Solve for x
    x = 3,575,860,602.25/38,313
  6. Step 6: Final answer
    x = 93,332.83

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.