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Finding the Third Proportional to 15,783.61 and 35,071.10

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Solution

The third proportional to 15,783.61 and 35,071.10 is: 77,927.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.61 : 35,071.10 = 35,071.10 : x
  2. Step 2: Convert to fraction form
    15,783.61/35,071.10 = 35,071.10/x
  3. Step 3: Cross multiply
    15,783.61x = 35,071.10 × 35,071.10
  4. Step 4: Simplify right side
    15,783.61x = 1,229,982,164.81
  5. Step 5: Solve for x
    x = 1,229,982,164.81/15,783.61
  6. Step 6: Final answer
    x = 77,927.81

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.