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Finding the Third Proportional to 15,688 and 22,681.50

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Solution

The third proportional to 15,688 and 22,681.50 is: 32,792.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,688 : 22,681.50 = 22,681.50 : x
  2. Step 2: Convert to fraction form
    15,688/22,681.50 = 22,681.50/x
  3. Step 3: Cross multiply
    15,688x = 22,681.50 × 22,681.50
  4. Step 4: Simplify right side
    15,688x = 514,450,442.25
  5. Step 5: Solve for x
    x = 514,450,442.25/15,688
  6. Step 6: Final answer
    x = 32,792.61

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.