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Finding the Third Proportional to 62,929.50 and 82,547.50

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Solution

The third proportional to 62,929.50 and 82,547.50 is: 108,281.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,929.50 : 82,547.50 = 82,547.50 : x
  2. Step 2: Convert to fraction form
    62,929.50/82,547.50 = 82,547.50/x
  3. Step 3: Cross multiply
    62,929.50x = 82,547.50 × 82,547.50
  4. Step 4: Simplify right side
    62,929.50x = 6,814,089,756.25
  5. Step 5: Solve for x
    x = 6,814,089,756.25/62,929.50
  6. Step 6: Final answer
    x = 108,281.33

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.