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Finding the Third Proportional to 37,301 and 59,066.50

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Solution

The third proportional to 37,301 and 59,066.50 is: 93,532.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,301 : 59,066.50 = 59,066.50 : x
  2. Step 2: Convert to fraction form
    37,301/59,066.50 = 59,066.50/x
  3. Step 3: Cross multiply
    37,301x = 59,066.50 × 59,066.50
  4. Step 4: Simplify right side
    37,301x = 3,488,851,422.25
  5. Step 5: Solve for x
    x = 3,488,851,422.25/37,301
  6. Step 6: Final answer
    x = 93,532.38

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.