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Finding the Third Proportional to 35,308 and 55,045.50

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Solution

The third proportional to 35,308 and 55,045.50 is: 85,816.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,308 : 55,045.50 = 55,045.50 : x
  2. Step 2: Convert to fraction form
    35,308/55,045.50 = 55,045.50/x
  3. Step 3: Cross multiply
    35,308x = 55,045.50 × 55,045.50
  4. Step 4: Simplify right side
    35,308x = 3,030,007,070.25
  5. Step 5: Solve for x
    x = 3,030,007,070.25/35,308
  6. Step 6: Final answer
    x = 85,816.45

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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.